Rockfish Historical Harvest Estimates

This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.

Issue	Howard	Bayes
Time series	1999 - present	1977 - present
Bias in SWHS	Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests.	Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases	Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data.	Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations	Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas.	Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation	Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with.	By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Results

• Model: LB_fit_3pH

• Model Run: *Gen4int_indcomp_swhsR_FULL_pHu2_thru2024_1e+05__2025-10-21* (Naming convention: modelname_thruYEAR_iters_rundate)

• Proportion of parmaters converged (Rhat <= 1.1): 0.9877

• See end of document for summary of unconverged parameters.

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

And black rockfish releases…

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Model fit

Logbook residuals

Figure 18.- Residuals from logbook harvests.

SWHS residuals

Figure 19.- Residuals from SWHS harvests.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

Figure 21.- Mean percent of harvest by charter anglers.

When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.

## NULL

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

## NULL

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

## NULL

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(slope|non-pelagic & non-yellowye) For release estimates

## NULL

Weight Fits

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.287037

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.16 while 0.84 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable	area_n	year	user	mean	median	lower	upper	Rhat	sd	skew	area
p_pelagic	11	1	1	0.443	0.441	0.203	0.691	1.062	0.128	0.016	CSEO
p_pelagic	11	1	2	0.386	0.378	0.165	0.651	1.048	0.128	0.062	CSEO
p_pelagic	11	10	1	0.448	0.445	0.212	0.702	1.065	0.128	0.023	CSEO
p_pelagic	11	10	2	0.387	0.378	0.167	0.652	1.044	0.128	0.070	CSEO
p_pelagic	11	11	1	0.449	0.448	0.205	0.704	1.058	0.132	0.008	CSEO
p_pelagic	11	11	2	0.386	0.378	0.165	0.651	1.044	0.127	0.063	CSEO
p_pelagic	11	12	1	0.447	0.444	0.213	0.695	1.075	0.128	0.023	CSEO
p_pelagic	11	12	2	0.387	0.383	0.160	0.646	1.049	0.126	0.032	CSEO
p_pelagic	11	13	1	0.444	0.441	0.216	0.689	1.044	0.125	0.024	CSEO
p_pelagic	11	13	2	0.381	0.375	0.169	0.636	1.036	0.123	0.049	CSEO
p_pelagic	11	14	1	0.457	0.454	0.233	0.705	1.049	0.124	0.024	CSEO
p_pelagic	11	14	2	0.385	0.379	0.170	0.647	1.052	0.126	0.048	CSEO
p_yellow	11	14	1	0.866	0.884	0.662	0.968	1.015	0.079	-0.227	CSEO
p_pelagic	11	15	1	0.408	0.399	0.191	0.664	1.046	0.125	0.072	CSEO
p_pelagic	11	15	2	0.378	0.370	0.162	0.634	1.034	0.124	0.064	CSEO
p_yellow	11	15	1	0.859	0.879	0.641	0.965	1.015	0.084	-0.239	CSEO
p_pelagic	11	16	1	0.464	0.460	0.235	0.705	1.049	0.122	0.033	CSEO
p_pelagic	11	16	2	0.388	0.380	0.175	0.643	1.037	0.124	0.065	CSEO
p_pelagic	11	17	1	0.458	0.455	0.237	0.700	1.046	0.122	0.025	CSEO
p_pelagic	11	17	2	0.387	0.381	0.163	0.646	1.055	0.127	0.047	CSEO
p_pelagic	11	18	1	0.461	0.458	0.230	0.696	1.031	0.123	0.024	CSEO
p_pelagic	11	18	2	0.391	0.383	0.164	0.639	1.034	0.125	0.064	CSEO
p_yellow	11	18	1	0.869	0.885	0.679	0.967	1.010	0.077	-0.208	CSEO
p_pelagic	11	19	1	0.467	0.466	0.234	0.713	1.039	0.123	0.008	CSEO
p_pelagic	11	19	2	0.390	0.384	0.170	0.649	1.044	0.126	0.048	CSEO
p_pelagic	11	2	1	0.446	0.442	0.222	0.702	1.049	0.127	0.032	CSEO
p_pelagic	11	2	2	0.384	0.376	0.165	0.649	1.045	0.127	0.063	CSEO
p_yellow	11	2	1	0.862	0.880	0.662	0.965	1.014	0.080	-0.226	CSEO
p_pelagic	11	20	1	0.462	0.455	0.240	0.711	1.025	0.122	0.057	CSEO
p_pelagic	11	20	2	0.392	0.385	0.167	0.650	1.031	0.125	0.056	CSEO
p_pelagic	11	21	1	0.462	0.457	0.240	0.707	1.015	0.123	0.041	CSEO
p_pelagic	11	21	2	0.391	0.382	0.181	0.653	1.031	0.124	0.073	CSEO
p_pelagic	11	22	2	0.394	0.385	0.169	0.652	1.026	0.125	0.072	CSEO
p_pelagic	11	23	2	0.396	0.387	0.179	0.657	1.015	0.124	0.073	CSEO
p_yellow	11	23	1	0.868	0.883	0.683	0.967	1.010	0.074	-0.202	CSEO
p_pelagic	11	3	1	0.447	0.443	0.212	0.699	1.058	0.128	0.031	CSEO
p_pelagic	11	3	2	0.382	0.376	0.165	0.635	1.053	0.126	0.047	CSEO
p_pelagic	11	4	1	0.446	0.441	0.213	0.708	1.054	0.128	0.039	CSEO
p_pelagic	11	4	2	0.384	0.376	0.170	0.637	1.060	0.122	0.065	CSEO
p_pelagic	11	5	1	0.449	0.443	0.221	0.701	1.046	0.129	0.047	CSEO
p_pelagic	11	5	2	0.380	0.372	0.160	0.640	1.048	0.124	0.064	CSEO
p_pelagic	11	6	1	0.445	0.439	0.215	0.702	1.057	0.127	0.047	CSEO
p_pelagic	11	6	2	0.382	0.372	0.160	0.654	1.043	0.128	0.078	CSEO
p_yellow	11	6	1	0.864	0.882	0.662	0.966	1.011	0.081	-0.223	CSEO
p_pelagic	11	7	1	0.448	0.446	0.213	0.707	1.060	0.129	0.016	CSEO
p_pelagic	11	7	2	0.382	0.375	0.162	0.643	1.053	0.128	0.055	CSEO
p_pelagic	11	8	1	0.448	0.444	0.208	0.694	1.040	0.128	0.031	CSEO
p_pelagic	11	8	2	0.384	0.374	0.163	0.649	1.058	0.128	0.078	CSEO
p_yellow	11	8	1	0.865	0.883	0.668	0.966	1.013	0.078	-0.231	CSEO
p_pelagic	11	9	1	0.446	0.440	0.210	0.706	1.060	0.130	0.046	CSEO
p_pelagic	11	9	2	0.386	0.382	0.163	0.643	1.043	0.127	0.032	CSEO
p_yellow	12	1	2	0.139	0.111	0.030	0.418	1.014	0.111	0.253	EWYKT
p_yellow	12	10	2	0.139	0.110	0.032	0.417	1.017	0.111	0.261	EWYKT
p_yellow	12	11	2	0.137	0.109	0.029	0.452	1.019	0.111	0.253	EWYKT
p_yellow	12	12	2	0.137	0.109	0.030	0.432	1.016	0.111	0.252	EWYKT
p_yellow	12	13	2	0.140	0.110	0.031	0.440	1.016	0.112	0.267	EWYKT
p_yellow	12	14	2	0.139	0.111	0.029	0.411	1.026	0.110	0.256	EWYKT
p_yellow	12	15	1	0.301	0.275	0.092	0.682	1.014	0.152	0.171	EWYKT
p_yellow	12	15	2	0.139	0.111	0.029	0.420	1.020	0.112	0.249	EWYKT
p_yellow	12	16	2	0.138	0.109	0.031	0.439	1.012	0.110	0.262	EWYKT
p_yellow	12	17	1	0.307	0.281	0.097	0.691	1.011	0.152	0.171	EWYKT
p_yellow	12	17	2	0.139	0.111	0.029	0.430	1.013	0.111	0.253	EWYKT
p_yellow	12	18	2	0.138	0.110	0.030	0.419	1.016	0.107	0.262	EWYKT
p_yellow	12	19	2	0.139	0.110	0.030	0.430	1.024	0.112	0.258	EWYKT
p_yellow	12	2	2	0.139	0.111	0.029	0.461	1.019	0.113	0.248	EWYKT
p_yellow	12	21	2	0.139	0.111	0.031	0.434	1.012	0.112	0.250	EWYKT
p_yellow	12	22	2	0.140	0.111	0.030	0.427	1.024	0.111	0.261	EWYKT
p_yellow	12	23	1	0.294	0.267	0.089	0.663	1.012	0.149	0.181	EWYKT
p_yellow	12	23	2	0.139	0.110	0.030	0.451	1.010	0.112	0.258	EWYKT
p_yellow	12	24	2	0.139	0.111	0.030	0.425	1.016	0.111	0.253	EWYKT
p_yellow	12	25	2	0.140	0.112	0.029	0.453	1.031	0.113	0.248	EWYKT
p_yellow	12	26	2	0.138	0.112	0.031	0.407	1.030	0.108	0.241	EWYKT
p_yellow	12	27	2	0.136	0.108	0.031	0.436	1.029	0.109	0.256	EWYKT
p_yellow	12	28	2	0.137	0.110	0.031	0.416	1.011	0.104	0.259	EWYKT
p_yellow	12	29	2	0.129	0.108	0.031	0.340	1.019	0.089	0.236	EWYKT
p_yellow	12	3	2	0.139	0.112	0.030	0.447	1.022	0.111	0.243	EWYKT
p_yellow	12	4	2	0.139	0.109	0.031	0.440	1.021	0.112	0.269	EWYKT
p_yellow	12	5	2	0.141	0.114	0.029	0.447	1.022	0.111	0.242	EWYKT
p_yellow	12	6	2	0.139	0.108	0.032	0.424	1.018	0.111	0.279	EWYKT
p_yellow	12	7	2	0.137	0.108	0.030	0.440	1.018	0.111	0.262	EWYKT
p_yellow	12	8	2	0.140	0.109	0.030	0.444	1.022	0.113	0.275	EWYKT
p_yellow	12	9	1	0.299	0.271	0.093	0.707	1.010	0.154	0.182	EWYKT
p_yellow	12	9	2	0.138	0.109	0.029	0.444	1.020	0.108	0.268	EWYKT
p_pelagic	13	1	1	0.539	0.542	0.290	0.768	1.017	0.125	-0.024	NSEI
p_pelagic	13	1	2	0.312	0.300	0.126	0.546	1.029	0.110	0.109	NSEI
p_pelagic	13	10	1	0.533	0.536	0.285	0.767	1.027	0.123	-0.024	NSEI
p_pelagic	13	10	2	0.311	0.299	0.130	0.547	1.018	0.110	0.109	NSEI
p_pelagic	13	11	1	0.534	0.534	0.285	0.766	1.027	0.125	0.000	NSEI
p_pelagic	13	11	2	0.309	0.298	0.131	0.537	1.016	0.107	0.103	NSEI
p_pelagic	13	12	1	0.537	0.538	0.288	0.771	1.015	0.125	-0.008	NSEI
p_pelagic	13	12	2	0.313	0.302	0.129	0.550	1.027	0.110	0.100	NSEI
p_pelagic	13	13	1	0.537	0.538	0.288	0.776	1.030	0.124	-0.008	NSEI
p_pelagic	13	13	2	0.311	0.299	0.129	0.541	1.018	0.108	0.111	NSEI
p_pelagic	13	14	1	0.530	0.534	0.292	0.759	1.019	0.125	-0.032	NSEI
p_pelagic	13	14	2	0.304	0.293	0.124	0.540	1.027	0.108	0.102	NSEI
p_pelagic	13	15	1	0.509	0.508	0.269	0.757	1.018	0.127	0.008	NSEI
p_pelagic	13	15	2	0.293	0.282	0.114	0.542	1.018	0.109	0.101	NSEI
p_pelagic	13	16	1	0.526	0.530	0.289	0.747	1.016	0.120	-0.033	NSEI
p_pelagic	13	16	2	0.306	0.294	0.128	0.546	1.022	0.108	0.111	NSEI
p_pelagic	13	17	1	0.529	0.531	0.280	0.760	1.016	0.123	-0.016	NSEI
p_pelagic	13	17	2	0.311	0.302	0.131	0.551	1.016	0.109	0.083	NSEI
p_pelagic	13	18	1	0.533	0.535	0.291	0.764	1.030	0.125	-0.016	NSEI
p_pelagic	13	18	2	0.312	0.302	0.134	0.553	1.022	0.109	0.092	NSEI
p_pelagic	13	19	1	0.529	0.527	0.288	0.754	1.020	0.122	0.016	NSEI
p_pelagic	13	19	2	0.306	0.297	0.127	0.548	1.019	0.107	0.084	NSEI
p_pelagic	13	2	1	0.537	0.540	0.286	0.763	1.034	0.124	-0.024	NSEI
p_pelagic	13	2	2	0.312	0.302	0.128	0.549	1.024	0.111	0.090	NSEI
p_pelagic	13	20	1	0.532	0.533	0.292	0.765	1.010	0.124	-0.008	NSEI
p_pelagic	13	20	2	0.311	0.299	0.132	0.548	1.011	0.107	0.112	NSEI
p_pelagic	13	21	1	0.533	0.535	0.288	0.765	1.015	0.123	-0.016	NSEI
p_pelagic	13	21	2	0.314	0.304	0.136	0.547	1.013	0.108	0.093	NSEI
p_pelagic	13	22	2	0.309	0.299	0.127	0.550	1.015	0.110	0.091	NSEI
p_pelagic	13	23	2	0.313	0.302	0.129	0.557	1.010	0.111	0.099	NSEI
p_pelagic	13	3	1	0.533	0.534	0.286	0.765	1.014	0.124	-0.008	NSEI
p_pelagic	13	3	2	0.310	0.296	0.129	0.548	1.020	0.109	0.128	NSEI
p_pelagic	13	4	1	0.534	0.538	0.283	0.768	1.023	0.125	-0.032	NSEI
p_pelagic	13	4	2	0.308	0.298	0.131	0.539	1.017	0.108	0.092	NSEI
p_dsr	13	47	1	0.100	0.097	0.062	0.152	1.012	0.023	0.129	NSEI
p_pelagic	13	5	1	0.541	0.547	0.292	0.760	1.023	0.123	-0.049	NSEI
p_pelagic	13	5	2	0.314	0.304	0.126	0.561	1.029	0.112	0.089	NSEI
p_pelagic	13	6	1	0.535	0.538	0.290	0.765	1.016	0.124	-0.024	NSEI
p_pelagic	13	7	1	0.538	0.542	0.280	0.766	1.023	0.124	-0.032	NSEI
p_pelagic	13	7	2	0.312	0.302	0.128	0.557	1.020	0.112	0.089	NSEI
p_pelagic	13	8	1	0.536	0.539	0.290	0.766	1.016	0.125	-0.024	NSEI
p_pelagic	13	8	2	0.314	0.303	0.125	0.551	1.024	0.111	0.099	NSEI
p_pelagic	13	9	1	0.534	0.535	0.288	0.764	1.029	0.124	-0.008	NSEI
p_pelagic	13	9	2	0.316	0.306	0.130	0.558	1.012	0.113	0.089	NSEI
p_black	14	1	2	0.932	0.949	0.776	0.991	1.011	0.059	-0.286	NSEO
p_pelagic	14	28	2	0.216	0.208	0.103	0.369	1.011	0.068	0.117	NSEO
p_pelagic	14	45	1	0.937	0.937	0.930	0.943	1.027	0.003	0.000	NSEO
p_dsr	15	1	1	0.498	0.499	0.211	0.780	1.012	0.152	-0.007	SSEI
p_dsr	15	12	1	0.499	0.495	0.214	0.798	1.013	0.152	0.026	SSEI
p_dsr	15	13	1	0.501	0.503	0.221	0.784	1.012	0.150	-0.013	SSEI
p_dsr	15	14	1	0.497	0.497	0.218	0.793	1.022	0.152	0.000	SSEI
p_dsr	15	15	1	0.488	0.491	0.207	0.778	1.012	0.152	-0.020	SSEI
p_slope	15	15	2	0.128	0.103	0.022	0.371	1.011	0.095	0.263	SSEI
p_dsr	15	16	1	0.500	0.502	0.216	0.787	1.015	0.151	-0.013	SSEI
p_dsr	15	17	1	0.501	0.503	0.219	0.774	1.019	0.147	-0.014	SSEI
p_dsr	15	2	1	0.499	0.494	0.213	0.780	1.013	0.153	0.033	SSEI
p_dsr	15	20	1	0.503	0.500	0.224	0.792	1.012	0.152	0.020	SSEI
p_dsr	15	23	1	0.556	0.562	0.262	0.814	1.016	0.143	-0.042	SSEI
p_dsr	15	25	1	0.556	0.562	0.271	0.822	1.020	0.144	-0.042	SSEI
p_dsr	15	26	1	0.563	0.573	0.261	0.823	1.042	0.147	-0.068	SSEI
p_dsr	15	27	1	0.562	0.569	0.272	0.824	1.010	0.141	-0.050	SSEI
p_dsr	15	28	1	0.531	0.532	0.253	0.794	1.012	0.143	-0.007	SSEI
p_dsr	15	29	1	0.543	0.551	0.240	0.808	1.010	0.147	-0.054	SSEI
p_dsr	15	3	1	0.500	0.500	0.215	0.791	1.012	0.153	0.000	SSEI
p_dsr	15	45	1	0.058	0.056	0.030	0.094	1.015	0.016	0.126	SSEI
p_dsr	15	46	1	0.055	0.054	0.040	0.071	1.016	0.008	0.130	SSEI
p_dsr	15	5	1	0.501	0.501	0.217	0.780	1.016	0.153	0.000	SSEI
p_dsr	15	7	1	0.505	0.507	0.225	0.790	1.013	0.151	-0.013	SSEI
p_dsr	15	9	1	0.497	0.496	0.212	0.781	1.011	0.151	0.007	SSEI
p_pelagic	16	1	1	0.482	0.482	0.232	0.727	1.052	0.130	0.000	SSEO
p_pelagic	16	1	2	0.421	0.412	0.185	0.680	1.034	0.128	0.070	SSEO
p_pelagic	16	10	1	0.478	0.480	0.230	0.726	1.037	0.129	-0.016	SSEO
p_pelagic	16	10	2	0.428	0.425	0.186	0.682	1.041	0.130	0.023	SSEO
p_pelagic	16	11	1	0.483	0.482	0.239	0.732	1.031	0.129	0.008	SSEO
p_pelagic	16	11	2	0.422	0.417	0.188	0.689	1.042	0.129	0.039	SSEO
p_pelagic	16	12	1	0.479	0.478	0.237	0.731	1.029	0.129	0.008	SSEO
p_pelagic	16	12	2	0.425	0.422	0.190	0.680	1.028	0.127	0.024	SSEO
p_pelagic	16	13	1	0.479	0.478	0.222	0.731	1.026	0.131	0.008	SSEO
p_pelagic	16	13	2	0.423	0.418	0.193	0.675	1.043	0.126	0.040	SSEO
p_pelagic	16	14	1	0.473	0.476	0.229	0.722	1.044	0.128	-0.024	SSEO
p_pelagic	16	14	2	0.425	0.422	0.199	0.674	1.038	0.128	0.023	SSEO
p_pelagic	16	15	1	0.483	0.481	0.245	0.719	1.032	0.125	0.016	SSEO
p_pelagic	16	15	2	0.424	0.418	0.188	0.690	1.048	0.130	0.046	SSEO
p_pelagic	16	16	1	0.477	0.477	0.233	0.711	1.048	0.126	0.000	SSEO
p_pelagic	16	16	2	0.423	0.419	0.192	0.687	1.037	0.128	0.031	SSEO
p_pelagic	16	17	1	0.513	0.515	0.272	0.746	1.031	0.123	-0.016	SSEO
p_pelagic	16	17	2	0.434	0.430	0.204	0.688	1.035	0.127	0.031	SSEO
p_pelagic	16	18	1	0.508	0.511	0.263	0.737	1.042	0.124	-0.024	SSEO
p_pelagic	16	18	2	0.429	0.426	0.198	0.686	1.034	0.127	0.024	SSEO
p_pelagic	16	19	1	0.494	0.494	0.249	0.732	1.020	0.125	0.000	SSEO
p_pelagic	16	19	2	0.431	0.428	0.202	0.687	1.011	0.128	0.023	SSEO
p_pelagic	16	2	1	0.483	0.483	0.230	0.732	1.040	0.130	0.000	SSEO
p_pelagic	16	2	2	0.426	0.420	0.180	0.675	1.028	0.130	0.046	SSEO
p_pelagic	16	20	1	0.497	0.497	0.251	0.736	1.030	0.126	0.000	SSEO
p_pelagic	16	20	2	0.432	0.428	0.196	0.683	1.021	0.127	0.031	SSEO
p_pelagic	16	21	1	0.484	0.483	0.247	0.726	1.024	0.126	0.008	SSEO
p_pelagic	16	21	2	0.432	0.431	0.203	0.689	1.024	0.125	0.008	SSEO
p_pelagic	16	22	2	0.434	0.430	0.208	0.683	1.020	0.123	0.032	SSEO
p_pelagic	16	23	2	0.441	0.437	0.214	0.695	1.018	0.126	0.032	SSEO
p_slope	16	28	1	0.129	0.108	0.027	0.349	1.011	0.085	0.247	SSEO
p_pelagic	16	3	1	0.484	0.485	0.229	0.733	1.040	0.132	-0.008	SSEO
p_pelagic	16	3	2	0.424	0.419	0.192	0.671	1.043	0.126	0.040	SSEO
p_pelagic	16	4	1	0.479	0.481	0.229	0.723	1.054	0.129	-0.015	SSEO
p_pelagic	16	4	2	0.425	0.422	0.184	0.683	1.029	0.130	0.023	SSEO
p_pelagic	16	42	1	0.833	0.833	0.826	0.840	1.104	0.004	0.000	SSEO
p_yellow	16	42	1	0.406	0.406	0.384	0.429	1.045	0.011	0.000	SSEO
p_dsr	16	42	1	0.451	0.443	0.407	0.509	3.400	0.030	0.269	SSEO
p_slope	16	42	1	0.165	0.178	0.109	0.207	4.677	0.031	-0.418	SSEO
p_pelagic	16	5	1	0.483	0.483	0.231	0.735	1.039	0.131	0.000	SSEO
p_pelagic	16	5	2	0.425	0.420	0.190	0.681	1.035	0.128	0.039	SSEO
p_pelagic	16	6	1	0.484	0.485	0.224	0.737	1.037	0.132	-0.008	SSEO
p_pelagic	16	6	2	0.424	0.424	0.180	0.676	1.042	0.128	0.000	SSEO
p_pelagic	16	7	1	0.488	0.488	0.232	0.729	1.044	0.130	0.000	SSEO
p_pelagic	16	7	2	0.421	0.417	0.188	0.673	1.046	0.126	0.032	SSEO
p_pelagic	16	8	1	0.481	0.484	0.237	0.725	1.036	0.128	-0.023	SSEO
p_pelagic	16	8	2	0.425	0.421	0.186	0.684	1.036	0.130	0.031	SSEO
p_pelagic	16	9	1	0.482	0.480	0.233	0.730	1.044	0.129	0.015	SSEO
p_pelagic	16	9	2	0.423	0.417	0.197	0.683	1.034	0.129	0.046	SSEO
p_pelagic	3	1	2	0.204	0.192	0.074	0.398	1.012	0.086	0.139	PWSI
p_pelagic	3	18	1	0.565	0.570	0.320	0.787	1.011	0.121	-0.041	PWSI
p_pelagic	4	1	1	0.553	0.554	0.303	0.778	1.011	0.125	-0.008	PWSO
p_pelagic	5	1	2	0.781	0.907	0.005	1.000	1.012	0.280	-0.450	BSAI
p_pelagic	5	15	2	0.781	0.907	0.005	1.000	1.010	0.280	-0.451	BSAI
p_pelagic	5	16	2	0.781	0.908	0.004	1.000	1.011	0.280	-0.454	BSAI
p_pelagic	5	18	2	0.779	0.908	0.005	1.000	1.011	0.281	-0.459	BSAI
p_pelagic	5	19	2	0.780	0.909	0.005	1.000	1.011	0.281	-0.458	BSAI
p_pelagic	5	2	2	0.779	0.903	0.003	1.000	1.011	0.282	-0.439	BSAI
p_pelagic	5	21	2	0.782	0.905	0.004	1.000	1.012	0.278	-0.442	BSAI
p_pelagic	5	24	2	0.781	0.910	0.004	1.000	1.010	0.279	-0.463	BSAI
p_pelagic	5	28	2	0.784	0.909	0.006	1.000	1.013	0.276	-0.454	BSAI
p_pelagic	5	3	2	0.781	0.903	0.005	1.000	1.011	0.280	-0.436	BSAI
p_pelagic	5	35	2	0.779	0.908	0.005	1.000	1.012	0.282	-0.457	BSAI
p_pelagic	5	36	2	0.781	0.909	0.005	1.000	1.010	0.280	-0.457	BSAI
p_pelagic	5	37	2	0.783	0.910	0.005	1.000	1.011	0.277	-0.458	BSAI
p_pelagic	5	4	2	0.781	0.909	0.004	1.000	1.011	0.279	-0.459	BSAI
p_pelagic	5	41	2	0.777	0.906	0.005	1.000	1.011	0.282	-0.457	BSAI
p_pelagic	5	43	2	0.776	0.905	0.004	1.000	1.010	0.283	-0.456	BSAI
p_pelagic	5	5	2	0.778	0.904	0.004	1.000	1.010	0.281	-0.449	BSAI
p_pelagic	5	6	2	0.781	0.908	0.005	1.000	1.012	0.280	-0.454	BSAI
p_pelagic	5	7	2	0.779	0.907	0.004	1.000	1.010	0.280	-0.456	BSAI
p_yellow	7	1	2	0.771	0.873	0.000	1.000	1.012	0.270	-0.378	WKMA
p_yellow	7	10	2	0.770	0.880	0.000	1.000	1.012	0.272	-0.405	WKMA
p_yellow	7	12	2	0.768	0.876	0.000	1.000	1.012	0.272	-0.397	WKMA
p_yellow	7	13	2	0.773	0.881	0.000	1.000	1.011	0.273	-0.396	WKMA
p_yellow	7	14	2	0.768	0.875	0.000	1.000	1.013	0.274	-0.391	WKMA
p_yellow	7	15	2	0.772	0.877	0.000	1.000	1.011	0.272	-0.385	WKMA
p_yellow	7	16	2	0.770	0.877	0.000	1.000	1.015	0.273	-0.392	WKMA
p_yellow	7	17	2	0.771	0.880	0.000	1.000	1.012	0.271	-0.402	WKMA
p_yellow	7	18	2	0.770	0.875	0.000	1.000	1.014	0.272	-0.386	WKMA
p_yellow	7	19	2	0.772	0.881	0.000	1.000	1.013	0.273	-0.399	WKMA
p_yellow	7	2	2	0.773	0.879	0.000	1.000	1.012	0.271	-0.391	WKMA
p_yellow	7	20	2	0.771	0.876	0.000	1.000	1.012	0.273	-0.385	WKMA
p_yellow	7	21	2	0.762	0.867	0.000	1.000	1.011	0.274	-0.383	WKMA
p_yellow	7	22	2	0.765	0.871	0.000	1.000	1.013	0.275	-0.385	WKMA
p_yellow	7	23	2	0.769	0.871	0.000	1.000	1.014	0.272	-0.375	WKMA
p_yellow	7	25	2	0.772	0.881	0.000	1.000	1.013	0.271	-0.402	WKMA
p_yellow	7	26	2	0.771	0.876	0.000	1.000	1.013	0.272	-0.386	WKMA
p_yellow	7	27	2	0.772	0.881	0.000	1.000	1.010	0.272	-0.401	WKMA
p_yellow	7	28	2	0.767	0.875	0.000	1.000	1.014	0.272	-0.396	WKMA
p_yellow	7	3	2	0.770	0.876	0.000	1.000	1.012	0.272	-0.389	WKMA
p_yellow	7	30	2	0.772	0.874	0.000	1.000	1.015	0.273	-0.374	WKMA
p_yellow	7	31	2	0.768	0.875	0.000	1.000	1.012	0.272	-0.393	WKMA
p_yellow	7	32	2	0.764	0.869	0.000	1.000	1.011	0.275	-0.381	WKMA
p_yellow	7	33	2	0.772	0.879	0.000	1.000	1.012	0.272	-0.394	WKMA
p_yellow	7	34	2	0.771	0.876	0.000	1.000	1.011	0.273	-0.385	WKMA
p_yellow	7	35	2	0.773	0.877	0.000	1.000	1.013	0.271	-0.383	WKMA
p_yellow	7	36	2	0.772	0.879	0.000	1.000	1.013	0.273	-0.392	WKMA
p_yellow	7	37	2	0.769	0.874	0.000	1.000	1.015	0.273	-0.385	WKMA
p_yellow	7	38	2	0.767	0.876	0.000	1.000	1.013	0.273	-0.399	WKMA
p_yellow	7	39	2	0.772	0.879	0.000	1.000	1.014	0.273	-0.392	WKMA
p_yellow	7	4	2	0.768	0.876	0.000	1.000	1.015	0.274	-0.395	WKMA
p_yellow	7	40	2	0.771	0.878	0.000	1.000	1.014	0.273	-0.392	WKMA
p_yellow	7	41	2	0.771	0.881	0.000	1.000	1.011	0.273	-0.403	WKMA
p_yellow	7	43	2	0.771	0.876	0.000	1.000	1.013	0.271	-0.387	WKMA
p_yellow	7	44	2	0.768	0.879	0.000	1.000	1.014	0.274	-0.406	WKMA
p_yellow	7	45	2	0.774	0.878	0.000	1.000	1.015	0.269	-0.386	WKMA
p_yellow	7	46	2	0.771	0.875	0.000	1.000	1.015	0.272	-0.382	WKMA
p_yellow	7	47	2	0.773	0.882	0.000	1.000	1.011	0.271	-0.402	WKMA
p_yellow	7	48	2	0.771	0.878	0.000	1.000	1.013	0.273	-0.393	WKMA
p_yellow	7	5	2	0.768	0.876	0.000	1.000	1.014	0.275	-0.393	WKMA
p_yellow	7	6	2	0.768	0.875	0.000	1.000	1.012	0.274	-0.391	WKMA
p_yellow	7	7	2	0.771	0.871	0.000	1.000	1.011	0.271	-0.369	WKMA
p_yellow	7	8	2	0.769	0.874	0.000	1.000	1.013	0.274	-0.384	WKMA
p_yellow	7	9	2	0.772	0.874	0.000	1.000	1.012	0.270	-0.378	WKMA
p_black	8	1	1	0.738	0.771	0.362	0.956	1.016	0.159	-0.208	afognak
p_black	8	10	1	0.736	0.773	0.334	0.948	1.030	0.162	-0.229	afognak
p_black	8	11	1	0.735	0.769	0.352	0.955	1.017	0.160	-0.213	afognak
p_black	8	12	1	0.735	0.767	0.362	0.952	1.025	0.159	-0.202	afognak
p_black	8	13	1	0.733	0.762	0.357	0.952	1.024	0.162	-0.179	afognak
p_black	8	14	1	0.739	0.771	0.367	0.953	1.025	0.157	-0.204	afognak
p_black	8	15	1	0.735	0.765	0.369	0.951	1.016	0.157	-0.191	afognak
p_black	8	16	1	0.740	0.768	0.381	0.951	1.016	0.153	-0.183	afognak
p_black	8	17	1	0.742	0.774	0.375	0.952	1.015	0.156	-0.205	afognak
p_black	8	18	1	0.741	0.779	0.359	0.953	1.029	0.160	-0.237	afognak
p_black	8	19	1	0.734	0.769	0.362	0.952	1.023	0.160	-0.218	afognak
p_black	8	2	1	0.741	0.772	0.364	0.952	1.029	0.158	-0.196	afognak
p_black	8	20	1	0.738	0.769	0.373	0.952	1.024	0.156	-0.198	afognak
p_black	8	22	1	0.737	0.769	0.348	0.953	1.015	0.161	-0.198	afognak
p_black	8	24	1	0.741	0.772	0.364	0.952	1.020	0.157	-0.198	afognak
p_black	8	25	1	0.736	0.768	0.342	0.950	1.017	0.158	-0.202	afognak
p_black	8	26	1	0.518	0.520	0.212	0.811	1.016	0.162	-0.012	afognak
p_black	8	28	1	0.734	0.764	0.354	0.948	1.021	0.156	-0.192	afognak
p_black	8	29	1	0.741	0.775	0.361	0.953	1.013	0.158	-0.215	afognak
p_black	8	3	1	0.737	0.769	0.385	0.950	1.014	0.156	-0.205	afognak
p_black	8	30	1	0.735	0.763	0.368	0.953	1.014	0.158	-0.177	afognak
p_black	8	31	1	0.889	0.903	0.736	0.973	1.019	0.063	-0.222	afognak
p_black	8	32	1	0.737	0.770	0.341	0.953	1.019	0.159	-0.207	afognak
p_black	8	33	1	0.935	0.937	0.889	0.973	1.029	0.022	-0.092	afognak
p_black	8	34	1	0.906	0.916	0.787	0.975	1.017	0.049	-0.202	afognak
p_black	8	35	1	0.732	0.743	0.478	0.918	1.015	0.115	-0.096	afognak
p_black	8	36	1	0.912	0.921	0.791	0.977	1.010	0.049	-0.185	afognak
p_black	8	37	1	0.550	0.382	0.297	0.961	15.871	0.273	0.616	afognak
p_black	8	4	1	0.738	0.770	0.366	0.954	1.027	0.157	-0.203	afognak
p_black	8	40	1	0.870	0.926	0.372	0.965	1.568	0.166	-0.337	afognak
p_black	8	41	1	0.844	0.903	0.545	0.959	1.022	0.128	-0.460	afognak
p_black	8	43	1	0.434	0.418	0.342	0.912	1.253	0.100	0.160	afognak
p_black	8	45	1	0.520	0.520	0.465	0.577	1.020	0.028	0.000	afognak
p_black	8	46	1	0.466	0.464	0.390	0.549	1.012	0.040	0.050	afognak
p_black	8	47	1	0.920	0.924	0.846	0.964	1.012	0.031	-0.128	afognak
p_black	8	48	1	0.458	0.452	0.377	0.561	1.039	0.053	0.112	afognak
p_black	8	5	1	0.742	0.776	0.370	0.953	1.017	0.158	-0.215	afognak
p_black	8	6	1	0.737	0.770	0.359	0.954	1.025	0.157	-0.210	afognak
p_black	8	8	1	0.738	0.764	0.368	0.953	1.023	0.156	-0.167	afognak
p_black	8	9	1	0.741	0.777	0.350	0.953	1.021	0.160	-0.225	afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable	area_n	year/species	mean	median	lower	upper	Rhat	sd	skew	year	area
mu_beta0_pH	1	1	0.589	0.583	0.161	1.057	1.114	0.224	0.027		CI
tau_beta0_pH	1	1	7.915	5.290	0.915	29.958	1.132	8.499	0.309		CI
beta0_pH	1	1	0.364	0.360	-0.027	0.782	1.116	0.204	0.020		CI
beta0_pH	1	1	0.739	0.860	-0.915	1.512	1.111	0.575	-0.210		CI
beta1_pH	1	1	3.518	3.306	2.466	7.043	1.416	0.975	0.217		CI
beta2_pH	1	1	0.433	0.392	0.210	0.920	1.184	0.184	0.222		CI
beta3_pH	1	1	36.024	35.739	33.590	41.794	1.439	1.755	0.162		CI
beta0_pH	10	1	0.282	0.277	-0.070	0.628	1.116	0.196	0.026		northeast
beta1_pH	10	1	2.116	2.104	1.546	2.737	1.112	0.303	0.040		northeast
beta1_pH	10	1	5.073	4.617	2.649	10.288	1.188	1.904	0.239		northeast
beta2_pH	10	1	1.454	0.912	0.396	7.213	1.145	1.778	0.305		northeast
beta2_pH	10	1	0.676	0.366	0.147	3.383	1.242	1.456	0.213		northeast
beta3_pH	10	1	36.172	35.793	32.538	42.294	1.146	2.399	0.158		northeast
beta0_pH	11	1	0.627	0.607	-0.192	1.422	1.340	0.403	0.050		CSEO
beta0_pH	11	2	0.399	0.459	-0.589	1.046	1.224	0.413	-0.145		CSEO
beta1_pH	11	1	3.184	3.198	2.691	3.645	1.122	0.244	-0.057		CSEO
beta1_pH	11	1	2.287	2.315	1.239	3.266	1.209	0.500	-0.056		CSEO
beta1_pH	11	2	0.850	0.748	0.049	2.305	1.235	0.580	0.176		CSEO
beta2_pH	11	1	1.018	0.916	0.511	2.344	1.165	0.452	0.226		CSEO
beta2_pH	11	1	-7.238	-6.773	-17.257	-0.652	1.122	4.567	-0.102		CSEO
beta2_pH	11	1	-3.521	-2.667	-10.815	-0.237	1.260	2.996	-0.285		CSEO
beta3_pH	11	1	30.348	30.296	29.271	31.708	1.113	0.596	0.087		CSEO
beta0_pelagic	11		-0.231	-0.208	-0.702	0.183	1.502	0.236	-0.098		CSEO
beta1_pelagic	11		1.248	1.245	0.694	1.910	1.506	0.331	0.009		CSEO
beta2_pelagic	11		1.670	1.135	0.186	5.875	1.109	1.528	0.350		CSEO
beta2_yellow	11		-2.207	-1.241	-8.853	-0.428	1.239	2.560	-0.377		CSEO
beta0_pH	12	1	0.524	0.530	0.109	0.912	1.174	0.208	-0.029		EWYKT
beta0_pH	12	1	0.524	0.537	-0.554	1.639	1.118	0.529	-0.025		EWYKT
beta0_pH	12	2	0.503	0.545	-0.423	1.197	1.211	0.405	-0.104		EWYKT
beta1_pH	12	1	2.973	2.969	2.508	3.489	1.191	0.258	0.016		EWYKT
beta1_pH	12	2	1.060	0.990	0.105	2.438	1.177	0.596	0.117		EWYKT
beta2_pH	12	1	-8.075	-7.809	-17.216	-1.182	1.149	4.270	-0.062		EWYKT
beta2_pH	12	1	-3.919	-2.907	-11.733	-0.474	1.469	3.208	-0.316		EWYKT
beta0_pH	13	1	0.354	0.449	-0.853	1.167	1.177	0.521	-0.182		NSEI
beta0_pH	13	2	0.661	0.671	-0.332	1.520	1.204	0.448	-0.022		NSEI
beta1_pH	13	1	2.775	2.717	2.256	4.396	1.227	0.441	0.132		NSEI
beta1_pH	13	1	1.353	1.300	0.354	2.633	1.150	0.581	0.091		NSEI
beta1_pH	13	2	1.552	1.515	0.540	2.831	1.146	0.573	0.065		NSEI
beta2_pH	13	1	0.983	0.922	0.195	2.084	1.156	0.447	0.136		NSEI
beta2_pH	13	1	-7.892	-7.731	-15.155	-1.443	1.271	4.064	-0.040		NSEI
beta2_pH	13	1	-3.079	-2.142	-10.381	-0.032	1.766	2.917	-0.321		NSEI
beta3_pH	13	1	33.031	32.902	31.558	36.567	1.349	1.046	0.123		NSEI
beta0_pelagic	13		0.150	0.153	-0.252	0.429	1.263	0.175	-0.017		NSEI
beta3_pelagic	13		36.155	35.937	31.445	42.007	1.110	2.489	0.088		NSEI
beta0_pH	14	1	0.368	0.421	-0.600	1.129	1.270	0.426	-0.124		NSEO
beta0_pH	14	2	0.446	0.483	-0.514	1.192	1.146	0.416	-0.089		NSEO
beta1_pH	14	1	1.799	1.761	0.928	2.841	1.200	0.480	0.079		NSEO
beta2_pH	14	1	1.042	0.983	0.563	1.703	1.130	0.345	0.171		NSEO
beta2_pH	14	1	-7.364	-6.707	-16.172	-1.577	1.204	4.182	-0.157		NSEO
beta2_pH	14	1	-3.792	-3.235	-8.488	-0.749	1.464	2.163	-0.258		NSEO
beta5_pH	14	1	-6.394	-6.353	-7.507	-5.455	1.142	0.513	-0.080		NSEO
beta0_pH	15	1	-0.118	-0.097	-0.685	0.253	1.338	0.223	-0.094		SSEI
beta0_pH	15	1	0.387	0.433	-0.468	1.100	1.477	0.417	-0.110		SSEI
beta0_pH	15	2	0.491	0.530	-0.489	1.214	1.248	0.409	-0.095		SSEI
beta1_pH	15	1	2.723	2.685	2.264	3.424	1.178	0.286	0.133		SSEI
beta1_pH	15	1	1.158	1.153	0.225	1.905	1.224	0.453	0.011		SSEI
beta1_pH	15	2	1.172	1.114	0.265	2.385	1.233	0.535	0.108		SSEI
beta2_pH	15	1	0.900	0.858	0.350	1.756	1.243	0.398	0.105		SSEI
beta2_pH	15	1	-7.957	-8.004	-16.800	-1.605	1.139	3.958	0.012		SSEI
beta2_pH	15	1	-3.774	-3.284	-9.811	-0.019	1.166	2.845	-0.172		SSEI
beta3_pH	15	1	31.125	31.115	29.582	32.547	1.147	0.728	0.014		SSEI
beta3_pH	15	1	40.822	41.139	34.523	43.876	1.809	2.300	-0.138		SSEI
beta5_pH	15	1	2.500	2.504	2.057	2.936	1.128	0.232	-0.017		SSEI
beta5_pH	15	1	-3.648	-3.635	-4.635	-2.895	1.361	0.420	-0.031		SSEI
beta1_pelagic	15		0.302	0.171	0.012	0.928	2.086	0.296	0.442		SSEI
beta3_pelagic	15		36.813	39.304	21.149	42.774	2.098	5.797	-0.430		SSEI
beta0_yellow	15		-1.139	-1.121	-1.594	-0.798	1.134	0.197	-0.091		SSEI
beta3_yellow	15		30.856	30.038	28.098	37.739	1.244	2.578	0.317		SSEI
beta0_dsr	15		-0.003	0.002	-0.317	0.302	1.270	0.156	-0.032		SSEI
beta4_dsr	15		0.752	0.751	0.376	1.156	1.115	0.201	0.005		SSEI
beta0_pH	16	1	-0.148	-0.131	-0.633	0.222	1.148	0.209	-0.081		SSEO
beta0_pH	16	1	0.563	0.582	-0.503	1.452	1.138	0.485	-0.039		SSEO
beta0_pH	16	2	0.574	0.581	-0.422	1.483	1.163	0.467	-0.015		SSEO
beta2_pH	16	1	0.874	0.829	0.401	1.788	1.277	0.366	0.123		SSEO
beta2_pH	16	1	-7.617	-7.130	-16.743	-1.645	1.122	4.130	-0.118		SSEO
beta2_pH	16	1	-4.157	-3.237	-11.446	-0.874	1.570	2.826	-0.326		SSEO
beta3_pH	16	1	41.903	41.868	40.956	43.175	1.589	0.584	0.060		SSEO
beta0_pelagic	16		-0.080	-0.025	-0.837	0.265	1.335	0.252	-0.218		SSEO
beta1_pelagic	16		1.181	1.073	0.570	1.996	1.102	0.380	0.284		SSEO
beta1_yellow	16		0.178	0.085	0.011	0.719	1.174	0.270	0.345		SSEO
mu_beta2_pH	2	1	1.558	1.046	-0.055	6.383	1.170	1.674	0.306		NG
tau_beta2_pH	2	1	0.448	0.107	0.042	1.921	1.106	3.435	0.099		NG
tau_beta5_pH	2	2	0.393	0.182	0.043	1.653	1.112	1.297	0.163		NG
beta0_pH	2	1	1.011	1.053	0.394	1.390	1.497	0.242	-0.173		NG
beta1_pH	2	1	2.399	2.298	1.691	3.419	1.403	0.461	0.219		NG
beta2_pH	2	1	0.537	0.483	0.127	1.374	1.338	0.346	0.156		NG
beta3_pH	2	1	32.197	32.216	28.651	36.021	1.435	1.742	-0.011		NG
beta0_yellow	2		0.499	0.564	-0.741	0.853	1.378	0.344	-0.189		NG
beta1_yellow	2		1.116	1.009	0.520	2.691	1.262	0.491	0.218		NG
beta3_yellow	2		29.238	28.720	25.638	37.399	1.312	2.442	0.212		NG
mu_beta0_pH	3	4	0.490	0.517	-0.314	1.072	1.368	0.341	-0.079		PWSI
tau_beta0_pH	3	1	8.907	3.941	0.765	49.301	1.101	12.823	0.387		PWSI
tau_beta0_pH	3	4	22.143	12.810	1.190	87.231	1.120	23.188	0.402		PWSI
mu_beta1_pH	3	2	1.356	1.266	0.309	2.899	1.131	0.697	0.129		PWSI
tau_beta1_pH	3	1	3.936	2.395	0.226	16.269	1.148	5.770	0.267		PWSI
tau_beta1_pH	3	2	7.462	2.873	0.137	50.129	1.111	12.848	0.357		PWSI
mu_beta2_pH	3	1	1.217	0.972	0.466	5.011	1.153	1.285	0.191		PWSI
mu_beta2_pH	3	1	-6.927	-7.082	-15.067	3.059	1.187	4.553	0.034		PWSI
mu_beta2_pH	3	1	-0.693	-1.893	-9.020	12.624	1.572	5.582	0.215		PWSI
tau_beta2_pH	3	1	19.737	10.928	0.095	84.038	1.111	22.458	0.392		PWSI
tau_beta2_pH	3	1	1.347	0.104	0.041	13.126	1.147	6.427	0.193		PWSI
beta0_pH	3	1	0.584	0.586	-0.391	1.454	1.252	0.453	-0.004		PWSI
beta1_pH	3	1	3.160	3.146	1.730	4.897	1.410	0.798	0.018		PWSI
beta2_pH	3	1	0.270	0.206	0.102	0.864	1.369	0.284	0.226		PWSI
beta3_pH	3	1	32.032	31.955	28.096	37.100	1.144	2.324	0.033		PWSI
beta2_yellow	3		-6.004	-4.075	-20.624	-0.224	1.356	5.630	-0.343		PWSI
beta3_yellow	3		32.994	32.832	23.725	41.342	1.109	3.772	0.043		PWSI
beta0_pH	4	1	1.008	0.982	0.093	1.677	1.338	0.406	0.064		PWSO
beta1_pH	4	1	3.720	3.427	1.792	6.986	1.388	1.406	0.208		PWSO
beta2_pH	4	1	0.297	0.196	0.071	1.251	1.431	0.378	0.268		PWSO
beta3_pH	4	1	35.194	34.534	28.584	42.374	1.152	3.732	0.177		PWSO
beta2_pelagic	4		8.274	8.450	0.582	20.016	1.123	5.279	-0.033		PWSO
beta0_yellow	4		0.937	0.980	0.215	1.343	1.107	0.272	-0.158		PWSO
beta2_pH	5	1	2.545	1.930	0.575	8.683	1.117	2.091	0.294		BSAI
beta1_pH	6	1	1.832	1.780	1.068	2.809	1.147	0.432	0.120		SOKO2SAP
beta2_pH	6	1	1.243	0.615	0.204	7.337	1.149	1.912	0.329		SOKO2SAP
beta4_yellow	6		1.803	1.025	-5.839	10.704	1.202	8.706	0.089		SOKO2SAP
beta_H	6	1	4.491	5.716	-5.653	7.853	1.216	3.529	-0.347		SOKO2SAP
beta_H	6	2	6.372	6.543	3.929	7.873	1.168	0.990	-0.173		SOKO2SAP
beta_H	6	3	7.938	7.609	6.610	10.470	1.226	1.038	0.317		SOKO2SAP
beta_H	6	4	7.528	7.731	5.562	8.495	1.192	0.732	-0.277		SOKO2SAP
beta_H	6	5	8.575	8.461	7.857	9.842	1.210	0.502	0.227		SOKO2SAP
beta_H	6	7	8.121	8.862	1.190	10.373	1.207	2.355	-0.315		SOKO2SAP
beta0_H	6		7.329	7.719	-64.079	79.032	1.114	32.042	-0.012		SOKO2SAP
beta5_pH	7	1	1.400	1.414	0.895	1.961	1.140	0.263	-0.053		WKMA
beta4_yellow	7		0.131	0.987	-10.216	7.724	1.231	10.568	-0.081		WKMA
beta0_pH	8	1	-0.539	-0.518	-1.132	-0.050	1.800	0.279	-0.075		afognak
beta1_pH	8	1	1.909	1.842	1.130	2.895	1.670	0.457	0.147		afognak
beta2_pH	8	1	1.413	0.594	0.222	7.411	1.346	2.055	0.399		afognak
beta3_pH	8	1	33.970	33.172	29.503	39.873	2.046	2.931	0.272		afognak
beta0_black	8		1.209	1.210	0.622	1.808	1.264	0.300	-0.003		afognak
beta_H	8	1	1.697	1.304	-2.802	4.414	1.112	5.229	0.075		afognak
beta0_H	8		5.503	6.249	-24.178	32.435	1.102	40.836	-0.018		afognak
beta0_pH	9	1	-0.300	-0.309	-0.829	0.268	1.225	0.283	0.032		eastside
beta1_pH	9	1	1.831	1.852	1.174	2.441	1.166	0.333	-0.063		eastside
beta2_pH	9	1	1.261	0.709	0.269	7.060	1.141	1.758	0.314		eastside
beta2_pH	9	1	0.737	0.470	0.212	3.234	1.235	1.475	0.181		eastside
beta3_pH	9	1	30.642	30.624	27.627	34.157	1.111	1.651	0.011		eastside
beta4_yellow	9		1.652	1.023	-5.988	10.246	1.201	8.198	0.077		eastside
pG	13	33	0.572	0.573	0.437	0.706	1.107	0.070	-0.014		NSEI
pG	13	45	0.706	0.707	0.612	0.804	1.168	0.050	-0.020		NSEI
lambda_H	14		3.623	2.177	0.223	15.546	1.114	5.111	0.283		NSEO
b1_pG	15		29.076	28.474	13.366	46.744	1.102	9.236	0.065		SSEI
b2_pG	15		31.210	31.026	14.226	48.624	1.113	9.698	0.019		SSEI
pG	16	29	0.777	0.777	0.649	0.904	1.123	0.066	0.000		SSEO
pG	16	32	0.791	0.791	0.653	0.927	1.136	0.068	0.000		SSEO
pG	16	34	0.738	0.737	0.579	0.884	1.110	0.077	0.013		SSEO
pG	16	35	0.727	0.729	0.583	0.870	1.102	0.074	-0.027		SSEO
pG	16	38	0.767	0.766	0.631	0.903	1.135	0.069	0.014		SSEO
pG	16	43	0.774	0.774	0.660	0.898	1.144	0.062	0.000		SSEO
mu_lambda_H	2		4.068	3.924	0.651	8.175	1.128	1.971	0.073		NG
sigma_lambda_H	2		9.067	8.727	1.082	18.809	1.125	4.734	0.072		NG
b2_pG	6		12.195	10.548	4.560	30.148	1.113	6.566	0.251		SOKO2SAP
lambda_H	6		14.346	7.677	0.015	43.787	1.859	16.088	0.415		SOKO2SAP

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.01	1,467.00	381.00	1,908.00	390.00
Prop. of total	0.79	0.21	0.83	0.17
Prop. median less than 1	0.12	0.13	0.19	0.35
Prop. median less than 10	0.19	0.36	0.35	0.67
Prop. median less than 50	0.30	0.56	0.49	0.78
Median of the median values	602.21	26.06	55.58	3.16
Mean of the median values	1,895.61	487.93	713.61	295.26
Mean skew of posteriors	0.18	0.28	0.24	0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.1	45.00	18.00	108.00	71.00
Prop. of total	0.71	0.29	0.60	0.40
Prop. median less than 1	0.16	0.39	0.57	0.54
Prop. median less than 10	0.20	0.78	0.72	0.86
Prop. median less than 50	0.36	0.94	0.83	0.92
Median of the median values	775.55	1.20	0.26	0.36
Mean of the median values	1,460.54	10.10	116.25	66.05
Mean skew of posteriors	0.16	0.22	0.16	0.16

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable	Freq
b2_pG	2
beta_H	7
beta0_black	1
beta0_dsr	1
beta0_H	1
beta0_pelagic	3
beta0_pH	23
beta0_yellow	2
beta1_pelagic	2
beta1_pH	21
beta1_yellow	2
beta2_pelagic	1
beta2_pH	28
beta2_yellow	2
beta3_pelagic	1
beta3_pH	12
beta3_yellow	2
beta4_dsr	1
beta4_yellow	3
beta5_pH	4
Bp_ay	3
Bp_ayu	4
H_ay	10
H_ayg	1
H_ayu	11
Hb_ay	10
Hb_ayg	5
Hb_ayu	7
Hd_ay	3
Hd_ayg	1
Hd_ayu	3
Ho_ay	12
Ho_ayg	1
Ho_ayu	19
Hp_ay	9
Hp_ayg	2
Hp_ayu	8
Hs_ay	4
Hs_ayg	3
Hs_ayu	5
Htrend_ay	15
Hy_ay	6
Hy_ayg	1
Hy_ayu	7
lambda_H	2
mu_beta0_pH	2
mu_beta1_pH	1
mu_beta2_pH	4
mu_lambda_H	1
p_black	3
p_dsr	1
p_slope	4
pG	5
pH	8
R_ay	4
R_ayg	3
R_ayu	6
Rb_ay	4
Rb_ayg	6
Rb_ayu	6
Rd_ay	1
Rd_ayg	2
Rd_ayu	2
re_black	6
re_dsr	15
re_pelagic	22
re_pH	120
re_slope	1
re_yellow	7
Ro_ay	31
Ro_ayg	25
Ro_ayu	42
Rp_ay	5
Rp_ayg	3
Rp_ayu	6
Rs_ay	25
Rs_ayg	21
Rs_ayu	44
Ry_ay	43
Ry_ayg	3
Ry_ayu	60
sd_pH	1
sigma_lambda_H	1
tau_beta0_pH	2
tau_beta1_pH	2
tau_beta2_pH	2
tau_beta5_pH	1
tau_pH	1

Parameter estimates:

Summary Table of Parameter Estimates

Parameter	mean	sd	Lower_CI	Median	Upper_CI
mu_bc_H[1]	-0.009	0.067	-0.131	-0.012	0.133
mu_bc_H[2]	0.068	0.051	-0.021	0.065	0.180
mu_bc_H[3]	-0.298	0.070	-0.430	-0.300	-0.150
mu_bc_H[4]	-0.920	0.182	-1.293	-0.917	-0.575
mu_bc_H[5]	1.647	1.369	0.214	1.302	5.175
mu_bc_H[6]	-2.357	0.334	-3.013	-2.356	-1.708
mu_bc_H[7]	-0.452	0.104	-0.663	-0.449	-0.255
mu_bc_H[8]	0.288	0.352	-0.289	0.261	1.091
mu_bc_H[9]	-0.240	0.124	-0.491	-0.241	0.009
mu_bc_H[10]	0.083	0.065	-0.036	0.082	0.218
mu_bc_H[11]	-0.127	0.037	-0.201	-0.128	-0.054
mu_bc_H[12]	-0.258	0.109	-0.491	-0.254	-0.047
mu_bc_H[13]	-0.148	0.075	-0.288	-0.148	0.004
mu_bc_H[14]	-0.312	0.092	-0.500	-0.310	-0.135
mu_bc_H[15]	-0.326	0.043	-0.409	-0.326	-0.240
mu_bc_H[16]	-0.281	0.367	-0.933	-0.307	0.505
mu_bc_R[1]	1.007	0.120	0.768	1.006	1.237
mu_bc_R[2]	1.003	0.074	0.849	1.006	1.137
mu_bc_R[3]	0.285	0.089	0.109	0.285	0.464
mu_bc_R[4]	0.665	0.201	0.240	0.676	1.035
mu_bc_R[5]	1.591	0.396	0.808	1.594	2.361
mu_bc_R[6]	-1.491	0.390	-2.244	-1.497	-0.709
mu_bc_R[7]	0.399	0.196	0.003	0.400	0.778
mu_bc_R[8]	0.646	0.145	0.370	0.642	0.944
mu_bc_R[9]	0.365	0.174	0.010	0.371	0.690
mu_bc_R[10]	0.840	0.103	0.631	0.838	1.037
mu_bc_R[11]	1.086	0.073	0.934	1.089	1.224
mu_bc_R[12]	0.807	0.166	0.474	0.812	1.130
mu_bc_R[13]	1.092	0.091	0.914	1.093	1.267
mu_bc_R[14]	0.884	0.118	0.652	0.886	1.115
mu_bc_R[15]	0.815	0.097	0.620	0.815	1.009
mu_bc_R[16]	1.448	0.103	1.242	1.450	1.646
tau_pH[1]	3.190	0.237	2.738	3.188	3.666
tau_pH[2]	1.636	0.153	1.361	1.630	1.948
tau_pH[3]	1.498	0.139	1.247	1.490	1.792
tau_pH[4]	1.415	0.195	1.066	1.403	1.819
tau_pH[5]	0.628	0.109	0.447	0.619	0.863
beta0_pH[1,1,1]	0.364	0.204	-0.027	0.360	0.782
beta0_pH[2,1,1]	1.011	0.242	0.394	1.053	1.390
beta0_pH[3,1,1]	0.584	0.453	-0.391	0.586	1.454
beta0_pH[4,1,1]	1.008	0.406	0.093	0.982	1.677
beta0_pH[5,1,1]	-0.685	0.277	-1.237	-0.677	-0.160
beta0_pH[6,1,1]	-0.381	0.281	-1.034	-0.361	0.084
beta0_pH[7,1,1]	0.706	0.126	0.442	0.713	0.939
beta0_pH[8,1,1]	-0.539	0.279	-1.132	-0.518	-0.050
beta0_pH[9,1,1]	-0.300	0.283	-0.829	-0.309	0.268
beta0_pH[10,1,1]	0.282	0.196	-0.070	0.277	0.628
beta0_pH[11,1,1]	0.027	0.185	-0.365	0.013	0.402
beta0_pH[12,1,1]	0.524	0.208	0.109	0.530	0.912
beta0_pH[13,1,1]	0.048	0.154	-0.263	0.061	0.326
beta0_pH[14,1,1]	-0.211	0.172	-0.544	-0.207	0.123
beta0_pH[15,1,1]	-0.118	0.223	-0.685	-0.097	0.253
beta0_pH[16,1,1]	-0.148	0.209	-0.633	-0.131	0.222
beta0_pH[1,2,1]	0.132	0.178	-0.240	0.143	0.451
beta0_pH[2,2,1]	0.542	0.113	0.321	0.543	0.762
beta0_pH[3,2,1]	0.456	0.118	0.219	0.458	0.679
beta0_pH[4,2,1]	0.606	0.230	0.091	0.632	0.980
beta0_pH[5,2,1]	-0.141	0.516	-1.272	-0.119	0.785
beta0_pH[6,2,1]	-0.184	0.540	-1.309	-0.157	0.762
beta0_pH[7,2,1]	-0.231	0.572	-1.500	-0.192	0.822
beta0_pH[8,2,1]	-0.107	0.173	-0.450	-0.107	0.221
beta0_pH[9,2,1]	0.144	0.172	-0.195	0.143	0.475
beta0_pH[10,2,1]	-0.213	0.122	-0.452	-0.212	0.023
beta0_pH[11,2,1]	0.143	0.274	-0.394	0.152	0.660
beta0_pH[12,2,1]	0.574	0.429	-0.194	0.560	1.395
beta0_pH[13,2,1]	0.229	0.270	-0.300	0.229	0.762
beta0_pH[14,2,1]	0.021	0.299	-0.584	0.027	0.620
beta0_pH[15,2,1]	0.365	0.396	-0.385	0.346	1.189
beta0_pH[16,2,1]	1.150	0.814	-0.133	1.166	2.555
beta0_pH[1,1,2]	2.524	0.218	2.094	2.525	2.940
beta0_pH[2,1,2]	2.946	0.183	2.579	2.948	3.297
beta0_pH[3,1,2]	3.446	0.201	3.061	3.444	3.840
beta0_pH[4,1,2]	3.234	0.170	2.917	3.229	3.579
beta0_pH[5,1,2]	4.432	1.306	2.679	4.169	7.680
beta0_pH[6,1,2]	3.322	0.253	2.841	3.320	3.834
beta0_pH[7,1,2]	1.971	0.243	1.492	1.973	2.430
beta0_pH[8,1,2]	2.823	0.215	2.413	2.824	3.244
beta0_pH[9,1,2]	3.912	0.286	3.364	3.908	4.479
beta0_pH[10,1,2]	3.885	0.240	3.419	3.882	4.362
beta0_pH[11,1,2]	2.050	0.180	1.720	2.043	2.428
beta0_pH[12,1,2]	1.816	0.212	1.401	1.815	2.235
beta0_pH[13,1,2]	2.410	0.198	2.032	2.407	2.807
beta0_pH[14,1,2]	1.962	0.176	1.608	1.968	2.297
beta0_pH[15,1,2]	2.445	0.198	2.054	2.449	2.832
beta0_pH[16,1,2]	2.633	0.214	2.210	2.635	3.040
beta0_pH[1,2,2]	1.915	0.688	0.418	1.935	3.172
beta0_pH[2,2,2]	1.781	0.261	1.275	1.776	2.286
beta0_pH[3,2,2]	1.943	0.254	1.447	1.941	2.439
beta0_pH[4,2,2]	2.320	0.276	1.802	2.314	2.869
beta0_pH[5,2,2]	3.401	1.505	0.477	3.334	6.629
beta0_pH[6,2,2]	3.394	1.509	0.509	3.313	6.627
beta0_pH[7,2,2]	3.407	1.507	0.510	3.355	6.535
beta0_pH[8,2,2]	4.304	1.356	2.438	4.067	7.618
beta0_pH[9,2,2]	3.973	1.314	1.968	3.769	7.062
beta0_pH[10,2,2]	2.537	0.375	1.801	2.531	3.315
beta0_pH[11,2,2]	2.578	0.224	2.143	2.575	3.014
beta0_pH[12,2,2]	1.513	0.452	0.583	1.525	2.370
beta0_pH[13,2,2]	2.681	0.218	2.265	2.681	3.120
beta0_pH[14,2,2]	1.926	0.225	1.478	1.925	2.374
beta0_pH[15,2,2]	2.624	0.208	2.223	2.626	3.030
beta0_pH[16,2,2]	3.409	0.335	2.770	3.406	4.079
beta0_pH[1,1,3]	0.739	0.575	-0.915	0.860	1.512
beta0_pH[2,1,3]	2.075	0.214	1.654	2.074	2.491
beta0_pH[3,1,3]	2.663	0.201	2.266	2.657	3.071
beta0_pH[4,1,3]	3.032	0.212	2.624	3.032	3.454
beta0_pH[5,1,3]	2.600	1.401	0.713	2.356	5.934
beta0_pH[6,1,3]	1.236	0.416	0.480	1.211	2.087
beta0_pH[7,1,3]	0.512	0.220	0.114	0.503	0.948
beta0_pH[8,1,3]	0.244	0.240	-0.250	0.244	0.699
beta0_pH[9,1,3]	-2.325	0.759	-3.818	-2.343	-0.873
beta0_pH[10,1,3]	-0.349	0.629	-1.768	-0.313	0.761
beta0_pH[11,1,3]	1.024	0.357	0.355	1.008	1.758
beta0_pH[12,1,3]	0.864	0.456	-0.039	0.852	1.875
beta0_pH[13,1,3]	0.750	0.365	-0.056	0.770	1.418
beta0_pH[14,1,3]	0.573	0.369	-0.263	0.605	1.203
beta0_pH[15,1,3]	0.810	0.318	0.179	0.810	1.461
beta0_pH[16,1,3]	1.012	0.435	0.257	0.971	1.982
beta0_pH[1,2,3]	1.094	0.525	0.095	1.084	2.153
beta0_pH[2,2,3]	0.222	0.263	-0.281	0.221	0.764
beta0_pH[3,2,3]	0.526	0.219	0.112	0.518	0.959
beta0_pH[4,2,3]	0.584	0.290	0.020	0.589	1.159
beta0_pH[5,2,3]	0.311	1.951	-3.369	0.181	4.739
beta0_pH[6,2,3]	0.171	1.901	-3.328	0.087	4.272
beta0_pH[7,2,3]	0.095	2.059	-3.835	0.096	4.346
beta0_pH[8,2,3]	-0.530	1.136	-2.826	-0.488	1.614
beta0_pH[9,2,3]	0.272	2.041	-3.826	0.204	4.715
beta0_pH[10,2,3]	-0.116	0.340	-0.813	-0.115	0.522
beta0_pH[11,2,3]	0.801	0.291	0.140	0.826	1.298
beta0_pH[12,2,3]	0.818	0.309	0.161	0.832	1.365
beta0_pH[13,2,3]	1.025	0.372	0.327	1.002	1.827
beta0_pH[14,2,3]	0.734	0.337	0.019	0.754	1.366
beta0_pH[15,2,3]	0.776	0.324	0.095	0.788	1.384
beta0_pH[16,2,3]	0.919	0.392	0.138	0.906	1.760
beta0_pH[11,1,4]	0.627	0.403	-0.192	0.607	1.422
beta0_pH[12,1,4]	0.524	0.529	-0.554	0.537	1.639
beta0_pH[13,1,4]	0.354	0.521	-0.853	0.449	1.167
beta0_pH[14,1,4]	0.368	0.426	-0.600	0.421	1.129
beta0_pH[15,1,4]	0.387	0.417	-0.468	0.433	1.100
beta0_pH[16,1,4]	0.563	0.485	-0.503	0.582	1.452
beta0_pH[11,2,4]	0.399	0.413	-0.589	0.459	1.046
beta0_pH[12,2,4]	0.503	0.405	-0.423	0.545	1.197
beta0_pH[13,2,4]	0.661	0.448	-0.332	0.671	1.520
beta0_pH[14,2,4]	0.446	0.416	-0.514	0.483	1.192
beta0_pH[15,2,4]	0.491	0.409	-0.489	0.530	1.214
beta0_pH[16,2,4]	0.574	0.467	-0.422	0.581	1.483
beta0_pH[11,1,5]	2.786	0.346	2.117	2.787	3.489
beta0_pH[12,1,5]	-0.864	0.519	-1.840	-0.872	0.210
beta0_pH[13,1,5]	3.075	0.521	2.107	3.071	4.076
beta0_pH[14,1,5]	3.571	0.485	2.631	3.561	4.546
beta0_pH[15,1,5]	2.114	0.428	1.278	2.115	2.952
beta0_pH[16,1,5]	-0.326	0.300	-0.876	-0.339	0.313
beta0_pH[11,2,5]	2.105	0.380	1.368	2.099	2.841
beta0_pH[12,2,5]	-0.772	1.181	-3.265	-0.725	1.384
beta0_pH[13,2,5]	4.254	0.439	3.422	4.253	5.127
beta0_pH[14,2,5]	3.151	0.622	1.953	3.129	4.390
beta0_pH[15,2,5]	2.602	0.349	1.899	2.599	3.282
beta0_pH[16,2,5]	4.324	0.709	3.023	4.293	5.780
beta1_pH[1,1,1]	3.518	0.975	2.466	3.306	7.043
beta1_pH[2,1,1]	2.399	0.461	1.691	2.298	3.419
beta1_pH[3,1,1]	3.160	0.798	1.730	3.146	4.897
beta1_pH[4,1,1]	3.720	1.406	1.792	3.427	6.986
beta1_pH[5,1,1]	2.163	0.328	1.568	2.148	2.861
beta1_pH[6,1,1]	1.832	0.432	1.068	1.780	2.809
beta1_pH[7,1,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1,1]	1.909	0.457	1.130	1.842	2.895
beta1_pH[9,1,1]	1.831	0.333	1.174	1.852	2.441
beta1_pH[10,1,1]	2.116	0.303	1.546	2.104	2.737
beta1_pH[11,1,1]	3.184	0.244	2.691	3.198	3.645
beta1_pH[12,1,1]	2.973	0.258	2.508	2.969	3.489
beta1_pH[13,1,1]	2.775	0.441	2.256	2.717	4.396
beta1_pH[14,1,1]	3.275	0.263	2.782	3.272	3.827
beta1_pH[15,1,1]	2.723	0.286	2.264	2.685	3.424
beta1_pH[16,1,1]	3.062	0.264	2.600	3.051	3.644
beta1_pH[1,2,1]	0.385	0.284	0.001	0.349	1.000
beta1_pH[2,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2,1]	0.354	0.312	0.001	0.290	1.066
beta1_pH[5,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,1]	1.593	0.317	0.985	1.580	2.230
beta1_pH[12,2,1]	1.427	0.486	0.536	1.403	2.361
beta1_pH[13,2,1]	1.541	0.308	0.934	1.533	2.166
beta1_pH[14,2,1]	1.709	0.342	1.070	1.701	2.384
beta1_pH[15,2,1]	1.451	0.401	0.641	1.459	2.238
beta1_pH[16,2,1]	2.516	0.821	1.138	2.503	3.940
beta1_pH[1,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,1,3]	2.622	1.385	0.619	2.320	5.925
beta1_pH[2,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1,3]	4.515	1.971	2.074	4.062	10.032
beta1_pH[9,1,3]	4.627	0.980	2.901	4.599	6.676
beta1_pH[10,1,3]	5.073	1.904	2.649	4.617	10.288
beta1_pH[11,1,3]	2.180	0.432	1.335	2.172	3.025
beta1_pH[12,1,3]	3.197	0.536	2.137	3.197	4.236
beta1_pH[13,1,3]	1.680	0.412	0.917	1.670	2.522
beta1_pH[14,1,3]	1.785	0.411	1.005	1.771	2.626
beta1_pH[15,1,3]	2.078	0.386	1.312	2.077	2.848
beta1_pH[16,1,3]	3.298	0.508	2.255	3.315	4.274
beta1_pH[1,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,3]	0.786	0.668	0.121	0.637	2.294
beta1_pH[12,2,3]	0.898	0.824	0.131	0.798	2.243
beta1_pH[13,2,3]	1.478	0.473	0.506	1.474	2.415
beta1_pH[14,2,3]	1.532	0.481	0.599	1.512	2.532
beta1_pH[15,2,3]	0.982	0.415	0.186	0.988	1.805
beta1_pH[16,2,3]	1.891	0.515	0.858	1.888	2.919
beta1_pH[11,1,4]	2.287	0.500	1.239	2.315	3.266
beta1_pH[12,1,4]	3.426	0.619	2.182	3.401	4.726
beta1_pH[13,1,4]	1.353	0.581	0.354	1.300	2.633
beta1_pH[14,1,4]	1.799	0.480	0.928	1.761	2.841
beta1_pH[15,1,4]	1.158	0.453	0.225	1.153	1.905
beta1_pH[16,1,4]	3.490	0.589	2.401	3.474	4.750
beta1_pH[11,2,4]	0.850	0.580	0.049	0.748	2.305
beta1_pH[12,2,4]	1.060	0.596	0.105	0.990	2.438
beta1_pH[13,2,4]	1.552	0.573	0.540	1.515	2.831
beta1_pH[14,2,4]	1.889	0.568	0.850	1.866	3.101
beta1_pH[15,2,4]	1.172	0.535	0.265	1.114	2.385
beta1_pH[16,2,4]	2.072	0.593	0.956	2.062	3.231
beta1_pH[11,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1,1]	0.433	0.184	0.210	0.392	0.920
beta2_pH[2,1,1]	0.537	0.346	0.127	0.483	1.374
beta2_pH[3,1,1]	0.270	0.284	0.102	0.206	0.864
beta2_pH[4,1,1]	0.297	0.378	0.071	0.196	1.251
beta2_pH[5,1,1]	2.545	2.091	0.575	1.930	8.683
beta2_pH[6,1,1]	1.243	1.912	0.204	0.615	7.337
beta2_pH[7,1,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1,1]	1.413	2.055	0.222	0.594	7.411
beta2_pH[9,1,1]	1.261	1.758	0.269	0.709	7.060
beta2_pH[10,1,1]	1.454	1.778	0.396	0.912	7.213
beta2_pH[11,1,1]	1.018	0.452	0.511	0.916	2.344
beta2_pH[12,1,1]	1.328	0.591	0.648	1.170	3.061
beta2_pH[13,1,1]	0.983	0.447	0.195	0.922	2.084
beta2_pH[14,1,1]	1.042	0.345	0.563	0.983	1.703
beta2_pH[15,1,1]	0.900	0.398	0.350	0.858	1.756
beta2_pH[16,1,1]	0.874	0.366	0.401	0.829	1.788
beta2_pH[1,2,1]	2.280	1.361	0.044	2.464	3.994
beta2_pH[2,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2,1]	2.164	1.413	0.033	2.316	3.993
beta2_pH[5,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,1]	2.420	1.217	0.510	2.558	3.993
beta2_pH[12,2,1]	2.297	1.361	0.060	2.454	3.994
beta2_pH[13,2,1]	2.431	1.199	0.531	2.534	3.993
beta2_pH[14,2,1]	2.650	1.172	0.512	3.000	3.994
beta2_pH[15,2,1]	2.474	1.211	0.394	2.659	3.993
beta2_pH[16,2,1]	2.396	1.232	0.552	2.535	3.995
beta2_pH[1,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1,3]	3.325	4.980	0.109	0.862	17.908
beta2_pH[2,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1,3]	2.355	2.136	0.492	1.635	7.575
beta2_pH[9,1,3]	0.737	1.475	0.212	0.470	3.234
beta2_pH[10,1,3]	0.676	1.456	0.147	0.366	3.383
beta2_pH[11,1,3]	-7.238	4.567	-17.257	-6.773	-0.652
beta2_pH[12,1,3]	-8.075	4.270	-17.216	-7.809	-1.182
beta2_pH[13,1,3]	-7.892	4.064	-15.155	-7.731	-1.443
beta2_pH[14,1,3]	-7.364	4.182	-16.172	-6.707	-1.577
beta2_pH[15,1,3]	-7.957	3.958	-16.800	-8.004	-1.605
beta2_pH[16,1,3]	-7.617	4.130	-16.743	-7.130	-1.645
beta2_pH[1,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,3]	-6.508	5.898	-21.197	-4.783	-0.075
beta2_pH[12,2,3]	-6.469	5.795	-21.017	-4.808	-0.123
beta2_pH[13,2,3]	-6.560	5.856	-21.785	-4.788	-0.231
beta2_pH[14,2,3]	-6.640	5.616	-20.898	-4.807	-0.586
beta2_pH[15,2,3]	-6.462	5.519	-20.388	-4.786	-0.290
beta2_pH[16,2,3]	-6.857	5.511	-20.813	-5.090	-0.699
beta2_pH[11,1,4]	-3.521	2.996	-10.815	-2.667	-0.237
beta2_pH[12,1,4]	-3.919	3.208	-11.733	-2.907	-0.474
beta2_pH[13,1,4]	-3.079	2.917	-10.381	-2.142	-0.032
beta2_pH[14,1,4]	-3.792	2.163	-8.488	-3.235	-0.749
beta2_pH[15,1,4]	-3.774	2.845	-9.811	-3.284	-0.019
beta2_pH[16,1,4]	-4.157	2.826	-11.446	-3.237	-0.874
beta2_pH[11,2,4]	-4.837	5.206	-19.100	-3.027	-0.037
beta2_pH[12,2,4]	-4.960	5.176	-19.162	-3.181	-0.087
beta2_pH[13,2,4]	-4.841	5.208	-19.092	-2.805	-0.167
beta2_pH[14,2,4]	-5.252	5.021	-19.813	-3.403	-0.473
beta2_pH[15,2,4]	-5.025	5.097	-18.890	-3.059	-0.193
beta2_pH[16,2,4]	-5.433	4.959	-19.085	-3.621	-0.515
beta2_pH[11,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2,5]	0.000	0.000	0.000	0.000	0.000
beta3_pH[1,1,1]	36.024	1.755	33.590	35.739	41.794
beta3_pH[2,1,1]	32.197	1.742	28.651	32.216	36.021
beta3_pH[3,1,1]	32.032	2.324	28.096	31.955	37.100
beta3_pH[4,1,1]	35.194	3.732	28.584	34.534	42.374
beta3_pH[5,1,1]	27.447	0.603	26.362	27.425	28.543
beta3_pH[6,1,1]	33.067	1.936	29.159	33.052	37.295
beta3_pH[7,1,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1,1]	33.970	2.931	29.503	33.172	39.873
beta3_pH[9,1,1]	30.642	1.651	27.627	30.624	34.157
beta3_pH[10,1,1]	32.019	0.800	30.496	32.027	33.607
beta3_pH[11,1,1]	30.348	0.596	29.271	30.296	31.708
beta3_pH[12,1,1]	30.516	0.443	29.609	30.524	31.361
beta3_pH[13,1,1]	33.031	1.046	31.558	32.902	36.567
beta3_pH[14,1,1]	32.084	0.543	31.116	32.091	33.167
beta3_pH[15,1,1]	31.125	0.728	29.582	31.115	32.547
beta3_pH[16,1,1]	30.768	0.673	29.366	30.794	32.035
beta3_pH[1,2,1]	34.311	3.296	26.888	34.217	41.915
beta3_pH[2,2,1]	34.149	5.233	25.440	34.225	42.489
beta3_pH[3,2,1]	32.280	6.070	22.555	32.227	42.265
beta3_pH[4,2,1]	31.490	5.451	22.966	29.936	42.352
beta3_pH[5,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,1]	35.011	1.409	32.547	34.837	37.627
beta3_pH[12,2,1]	31.984	2.214	29.168	31.419	37.464
beta3_pH[13,2,1]	30.797	1.125	29.085	30.837	32.716
beta3_pH[14,2,1]	32.270	1.263	30.984	31.835	35.601
beta3_pH[15,2,1]	31.049	1.343	29.162	30.977	33.923
beta3_pH[16,2,1]	30.799	1.081	29.070	30.973	32.518
beta3_pH[1,1,2]	33.950	5.216	25.557	33.853	42.495
beta3_pH[2,1,2]	34.106	5.247	25.544	33.958	42.551
beta3_pH[3,1,2]	32.514	6.122	22.453	32.516	42.498
beta3_pH[4,1,2]	32.639	6.056	22.577	32.710	42.521
beta3_pH[5,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,2,2]	34.099	5.202	25.490	34.095	42.502
beta3_pH[2,2,2]	33.947	5.201	25.477	33.879	42.625
beta3_pH[3,2,2]	32.273	6.038	22.453	32.062	42.491
beta3_pH[4,2,2]	32.555	6.053	22.578	32.564	42.442
beta3_pH[5,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,1,3]	38.268	3.275	30.417	39.439	42.534
beta3_pH[2,1,3]	33.999	5.222	25.451	33.802	42.562
beta3_pH[3,1,3]	32.574	6.157	22.554	32.529	42.569
beta3_pH[4,1,3]	32.441	6.028	22.440	32.501	42.377
beta3_pH[5,1,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,1,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,1,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1,3]	41.984	0.793	40.611	41.813	43.760
beta3_pH[9,1,3]	30.948	1.492	28.391	30.885	33.905
beta3_pH[10,1,3]	36.172	2.399	32.538	35.793	42.294
beta3_pH[11,1,3]	40.686	0.950	39.078	40.666	42.554
beta3_pH[12,1,3]	42.121	0.828	39.462	42.356	42.864
beta3_pH[13,1,3]	41.350	0.774	39.667	41.414	42.810
beta3_pH[14,1,3]	40.273	0.807	38.811	40.222	41.813
beta3_pH[15,1,3]	40.742	0.619	39.693	40.724	42.005
beta3_pH[16,1,3]	42.194	0.404	41.265	42.172	42.895
beta3_pH[1,2,3]	33.891	5.194	25.501	33.877	42.524
beta3_pH[2,2,3]	33.902	5.114	25.460	33.785	42.542
beta3_pH[3,2,3]	32.480	6.061	22.587	32.409	42.483
beta3_pH[4,2,3]	32.565	5.994	22.543	32.677	42.384
beta3_pH[5,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,3]	35.803	4.745	29.107	36.647	42.634
beta3_pH[12,2,3]	35.884	4.148	29.293	36.038	42.691
beta3_pH[13,2,3]	40.358	1.487	36.823	40.559	42.614
beta3_pH[14,2,3]	39.675	1.253	36.950	39.824	41.747
beta3_pH[15,2,3]	39.608	2.259	32.663	40.061	42.547
beta3_pH[16,2,3]	41.342	1.031	39.281	41.499	42.760
beta3_pH[11,1,4]	40.644	1.086	38.773	40.546	42.810
beta3_pH[12,1,4]	42.110	0.780	39.932	42.325	43.091
beta3_pH[13,1,4]	41.773	1.328	38.812	41.812	43.855
beta3_pH[14,1,4]	40.549	0.875	38.685	40.633	41.927
beta3_pH[15,1,4]	40.822	2.300	34.523	41.139	43.876
beta3_pH[16,1,4]	41.903	0.584	40.956	41.868	43.175
beta3_pH[11,2,4]	39.926	2.556	34.623	40.264	43.766
beta3_pH[12,2,4]	39.008	2.806	34.491	38.862	43.671
beta3_pH[13,2,4]	40.153	1.887	35.857	40.371	43.470
beta3_pH[14,2,4]	39.826	1.055	37.677	39.919	41.724
beta3_pH[15,2,4]	40.073	1.714	36.256	40.266	43.086
beta3_pH[16,2,4]	41.485	0.905	39.411	41.551	43.037
beta3_pH[11,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,2,5]	25.000	0.000	25.000	25.000	25.000
beta0_pelagic[1]	2.220	0.109	2.008	2.220	2.439
beta0_pelagic[2]	1.505	0.105	1.287	1.500	1.712
beta0_pelagic[3]	0.280	0.170	-0.084	0.303	0.601
beta0_pelagic[4]	0.236	0.186	-0.087	0.232	0.612
beta0_pelagic[5]	1.411	0.183	1.063	1.412	1.762
beta0_pelagic[6]	1.373	0.123	1.132	1.373	1.608
beta0_pelagic[7]	1.499	0.110	1.289	1.497	1.709
beta0_pelagic[8]	1.736	0.107	1.525	1.738	1.945
beta0_pelagic[9]	2.782	0.128	2.533	2.781	3.033
beta0_pelagic[10]	2.549	0.102	2.345	2.550	2.749
beta0_pelagic[11]	-0.231	0.236	-0.702	-0.208	0.183
beta0_pelagic[12]	1.784	0.108	1.568	1.788	1.997
beta0_pelagic[13]	0.150	0.175	-0.252	0.153	0.429
beta0_pelagic[14]	-0.509	0.203	-0.953	-0.485	-0.132
beta0_pelagic[15]	-0.242	0.109	-0.431	-0.241	-0.017
beta0_pelagic[16]	-0.080	0.252	-0.837	-0.025	0.265
beta1_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[3]	0.651	0.211	0.231	0.657	1.059
beta1_pelagic[4]	0.903	0.193	0.546	0.910	1.244
beta1_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[11]	1.248	0.331	0.694	1.245	1.910
beta1_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[13]	1.186	0.378	0.664	1.127	2.241
beta1_pelagic[14]	2.026	0.472	1.408	1.907	3.190
beta1_pelagic[15]	0.302	0.296	0.012	0.171	0.928
beta1_pelagic[16]	1.181	0.380	0.570	1.073	1.996
beta2_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[3]	8.084	5.814	0.404	7.016	21.267
beta2_pelagic[4]	8.274	5.279	0.582	8.450	20.016
beta2_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[11]	1.670	1.528	0.186	1.135	5.875
beta2_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[13]	1.107	1.325	0.200	0.567	5.132
beta2_pelagic[14]	0.789	0.805	0.215	0.574	3.295
beta2_pelagic[15]	2.648	1.797	0.220	2.327	6.965
beta2_pelagic[16]	1.349	1.510	0.169	0.693	5.669
beta3_pelagic[1]	30.967	6.913	19.658	31.084	42.447
beta3_pelagic[2]	31.071	6.913	19.628	31.081	42.416
beta3_pelagic[3]	29.769	2.350	24.689	30.297	34.280
beta3_pelagic[4]	25.899	1.013	23.515	26.171	27.336
beta3_pelagic[5]	29.231	6.604	18.600	29.058	40.388
beta3_pelagic[6]	29.683	6.731	18.596	29.887	40.400
beta3_pelagic[7]	29.361	6.708	18.506	29.314	40.364
beta3_pelagic[8]	29.662	6.557	18.623	29.849	40.400
beta3_pelagic[9]	29.527	6.638	18.611	29.623	40.438
beta3_pelagic[10]	29.526	6.623	18.560	29.371	40.348
beta3_pelagic[11]	29.729	1.006	27.738	29.777	31.575
beta3_pelagic[12]	30.890	6.953	19.518	30.879	42.461
beta3_pelagic[13]	36.155	2.489	31.445	35.937	42.007
beta3_pelagic[14]	33.644	1.621	31.254	33.381	37.963
beta3_pelagic[15]	36.813	5.797	21.149	39.304	42.774
beta3_pelagic[16]	32.215	2.309	27.912	31.862	37.343
beta0_yellow[1]	-0.481	0.150	-0.770	-0.479	-0.187
beta0_yellow[2]	0.499	0.344	-0.741	0.564	0.853
beta0_yellow[3]	-0.190	0.201	-0.608	-0.180	0.164
beta0_yellow[4]	0.937	0.272	0.215	0.980	1.343
beta0_yellow[5]	0.384	0.340	-0.348	0.414	0.957
beta0_yellow[6]	0.803	0.158	0.501	0.799	1.123
beta0_yellow[7]	0.946	0.161	0.638	0.940	1.270
beta0_yellow[8]	0.981	0.157	0.682	0.980	1.283
beta0_yellow[9]	0.548	0.166	0.210	0.554	0.861
beta0_yellow[10]	0.669	0.132	0.404	0.672	0.907
beta0_yellow[11]	-0.073	0.171	-0.407	-0.070	0.257
beta0_yellow[12]	-1.191	0.197	-1.615	-1.178	-0.843
beta0_yellow[13]	-1.370	0.258	-1.898	-1.355	-0.896
beta0_yellow[14]	-0.276	0.179	-0.630	-0.274	0.062
beta0_yellow[15]	-1.139	0.197	-1.594	-1.121	-0.798
beta0_yellow[16]	-0.342	0.213	-0.741	-0.329	-0.001
beta1_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[2]	1.116	0.491	0.520	1.009	2.691
beta1_yellow[3]	0.472	0.314	0.016	0.467	1.055
beta1_yellow[4]	1.303	0.526	0.586	1.189	2.797
beta1_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[11]	2.090	0.324	1.553	2.061	2.833
beta1_yellow[12]	0.266	0.483	0.011	0.096	1.563
beta1_yellow[13]	2.421	0.655	1.392	2.317	3.935
beta1_yellow[14]	2.703	0.596	1.724	2.633	4.153
beta1_yellow[15]	0.730	0.307	0.144	0.718	1.410
beta1_yellow[16]	0.178	0.270	0.011	0.085	0.719
beta2_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[2]	-6.341	5.378	-19.565	-5.157	-0.095
beta2_yellow[3]	-6.004	5.630	-20.624	-4.075	-0.224
beta2_yellow[4]	-5.714	5.837	-20.167	-3.791	-0.139
beta2_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[11]	-2.207	2.560	-8.853	-1.241	-0.428
beta2_yellow[12]	-7.724	5.839	-21.401	-6.603	-0.324
beta2_yellow[13]	-1.587	2.982	-11.773	-0.648	-0.217
beta2_yellow[14]	-4.259	4.556	-17.281	-2.340	-0.519
beta2_yellow[15]	-5.939	5.207	-19.422	-4.800	-0.192
beta2_yellow[16]	-7.549	5.700	-21.144	-6.460	-0.163
beta3_yellow[1]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[2]	29.238	2.442	25.638	28.720	37.399
beta3_yellow[3]	32.994	3.772	23.725	32.832	41.342
beta3_yellow[4]	28.214	2.748	22.973	27.657	35.683
beta3_yellow[5]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[6]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[7]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[8]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[9]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[10]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[11]	30.068	0.745	28.724	29.957	31.694
beta3_yellow[12]	34.667	3.923	28.294	34.615	41.621
beta3_yellow[13]	30.236	1.108	28.214	30.179	32.708
beta3_yellow[14]	29.305	0.505	28.262	29.264	30.341
beta3_yellow[15]	30.856	2.578	28.098	30.038	37.739
beta3_yellow[16]	34.574	3.640	28.454	34.448	41.410
beta0_black[1]	0.035	0.178	-0.314	0.034	0.382
beta0_black[2]	1.905	0.170	1.580	1.905	2.229
beta0_black[3]	1.389	0.175	1.050	1.391	1.733
beta0_black[4]	2.531	0.174	2.193	2.533	2.875
beta0_black[5]	4.717	2.304	1.704	4.240	10.910
beta0_black[6]	4.763	2.141	2.276	4.160	10.729
beta0_black[7]	3.694	1.925	1.513	3.220	9.013
beta0_black[8]	1.209	0.300	0.622	1.210	1.808
beta0_black[9]	2.697	0.294	2.115	2.698	3.266
beta0_black[10]	1.384	0.169	1.038	1.384	1.714
beta0_black[11]	2.966	0.178	2.616	2.968	3.320
beta0_black[12]	4.859	0.240	4.389	4.855	5.334
beta0_black[13]	0.330	0.247	0.013	0.277	0.927
beta0_black[14]	2.847	0.200	2.454	2.853	3.221
beta0_black[15]	1.297	0.184	0.918	1.300	1.650
beta0_black[16]	3.773	0.188	3.408	3.769	4.151
beta2_black[1]	0.000	0.000	0.000	0.000	0.000
beta2_black[2]	0.000	0.000	0.000	0.000	0.000
beta2_black[3]	0.000	0.000	0.000	0.000	0.000
beta2_black[4]	0.000	0.000	0.000	0.000	0.000
beta2_black[5]	0.000	0.000	0.000	0.000	0.000
beta2_black[6]	0.000	0.000	0.000	0.000	0.000
beta2_black[7]	0.000	0.000	0.000	0.000	0.000
beta2_black[8]	0.000	0.000	0.000	0.000	0.000
beta2_black[9]	0.000	0.000	0.000	0.000	0.000
beta2_black[10]	0.000	0.000	0.000	0.000	0.000
beta2_black[11]	0.000	0.000	0.000	0.000	0.000
beta2_black[12]	0.000	0.000	0.000	0.000	0.000
beta2_black[13]	-2.399	1.484	-6.314	-2.144	-0.540
beta2_black[14]	0.000	0.000	0.000	0.000	0.000
beta2_black[15]	0.000	0.000	0.000	0.000	0.000
beta2_black[16]	0.000	0.000	0.000	0.000	0.000
beta3_black[1]	25.000	0.000	25.000	25.000	25.000
beta3_black[2]	25.000	0.000	25.000	25.000	25.000
beta3_black[3]	25.000	0.000	25.000	25.000	25.000
beta3_black[4]	25.000	0.000	25.000	25.000	25.000
beta3_black[5]	25.000	0.000	25.000	25.000	25.000
beta3_black[6]	25.000	0.000	25.000	25.000	25.000
beta3_black[7]	25.000	0.000	25.000	25.000	25.000
beta3_black[8]	25.000	0.000	25.000	25.000	25.000
beta3_black[9]	25.000	0.000	25.000	25.000	25.000
beta3_black[10]	25.000	0.000	25.000	25.000	25.000
beta3_black[11]	25.000	0.000	25.000	25.000	25.000
beta3_black[12]	25.000	0.000	25.000	25.000	25.000
beta3_black[13]	38.625	1.457	35.889	38.853	40.633
beta3_black[14]	25.000	0.000	25.000	25.000	25.000
beta3_black[15]	25.000	0.000	25.000	25.000	25.000
beta3_black[16]	25.000	0.000	25.000	25.000	25.000
beta4_black[1]	-0.322	0.242	-0.803	-0.325	0.142
beta4_black[2]	0.262	0.226	-0.181	0.260	0.722
beta4_black[3]	-1.018	0.245	-1.499	-1.020	-0.536
beta4_black[4]	0.551	0.263	0.026	0.550	1.072
beta4_black[5]	0.826	1.663	-1.348	0.493	4.970
beta4_black[6]	0.973	1.715	-1.031	0.581	5.073
beta4_black[7]	0.826	1.687	-1.141	0.493	4.743
beta4_black[8]	-0.342	0.382	-1.108	-0.334	0.380
beta4_black[9]	1.066	0.867	-0.204	0.922	3.094
beta4_black[10]	0.096	0.224	-0.340	0.096	0.526
beta4_black[11]	-0.593	0.244	-1.065	-0.597	-0.092
beta4_black[12]	0.646	0.386	-0.103	0.640	1.409
beta4_black[13]	-1.223	0.246	-1.708	-1.225	-0.729
beta4_black[14]	0.097	0.290	-0.447	0.092	0.668
beta4_black[15]	-1.025	0.245	-1.510	-1.028	-0.550
beta4_black[16]	-0.452	0.264	-0.984	-0.451	0.068
beta0_dsr[11]	-0.634	0.157	-0.949	-0.628	-0.332
beta0_dsr[12]	1.453	0.175	1.117	1.448	1.800
beta0_dsr[13]	0.071	0.170	-0.260	0.074	0.416
beta0_dsr[14]	-0.157	0.160	-0.481	-0.154	0.150
beta0_dsr[15]	-0.003	0.156	-0.317	0.002	0.302
beta0_dsr[16]	-0.098	0.178	-0.452	-0.098	0.258
beta1_dsr[11]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[12]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[13]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[14]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[15]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[16]	0.000	0.000	0.000	0.000	0.000
beta4_dsr[11]	1.096	0.205	0.686	1.102	1.488
beta4_dsr[12]	0.720	0.322	0.110	0.715	1.358
beta4_dsr[13]	0.168	0.223	-0.255	0.166	0.610
beta4_dsr[14]	-0.063	0.239	-0.520	-0.065	0.387
beta4_dsr[15]	0.752	0.201	0.376	0.751	1.156
beta4_dsr[16]	0.464	0.231	0.018	0.455	0.928
beta0_slope[11]	-1.945	0.187	-2.322	-1.945	-1.562
beta0_slope[12]	-5.450	0.347	-6.160	-5.442	-4.781
beta0_slope[13]	-1.264	0.226	-1.702	-1.263	-0.821
beta0_slope[14]	-2.578	0.212	-2.993	-2.580	-2.164
beta0_slope[15]	-1.257	0.232	-1.657	-1.276	-0.752
beta0_slope[16]	-2.323	0.208	-2.707	-2.330	-1.892
beta1_slope[11]	0.000	0.000	0.000	0.000	0.000
beta1_slope[12]	0.000	0.000	0.000	0.000	0.000
beta1_slope[13]	0.000	0.000	0.000	0.000	0.000
beta1_slope[14]	0.000	0.000	0.000	0.000	0.000
beta1_slope[15]	0.000	0.000	0.000	0.000	0.000
beta1_slope[16]	0.000	0.000	0.000	0.000	0.000
beta4_slope[11]	-0.765	0.269	-1.311	-0.765	-0.221
beta4_slope[12]	-3.889	0.922	-5.798	-3.866	-2.146
beta4_slope[13]	-0.031	0.289	-0.598	-0.031	0.541
beta4_slope[14]	-0.380	0.324	-1.040	-0.379	0.246
beta4_slope[15]	-0.925	0.292	-1.537	-0.922	-0.396
beta4_slope[16]	-0.675	0.290	-1.255	-0.666	-0.123
beta5_slope[11]	2.615	0.320	1.993	2.611	3.251
beta5_slope[12]	1.578	0.518	0.567	1.567	2.599
beta5_slope[13]	1.361	0.314	0.729	1.354	1.957
beta5_slope[14]	3.494	0.458	2.599	3.482	4.421
beta5_slope[15]	1.675	0.323	1.052	1.672	2.322
beta5_slope[16]	2.849	0.400	2.094	2.843	3.650
tau_comp[1]	3.990	0.301	3.421	3.986	4.616
tau_comp[2]	2.579	0.212	2.180	2.575	3.009
tau_comp[3]	1.364	0.099	1.174	1.361	1.568
tau_comp[4]	2.441	0.308	1.872	2.424	3.075
tau_comp[5]	1.502	0.208	1.130	1.488	1.944
sigma_H[1]	0.209	0.047	0.118	0.206	0.309
sigma_H[2]	0.175	0.029	0.125	0.172	0.238
sigma_H[3]	0.180	0.037	0.116	0.177	0.264
sigma_H[4]	0.464	0.082	0.328	0.454	0.650
sigma_H[5]	0.959	0.202	0.590	0.948	1.378
sigma_H[6]	0.535	0.209	0.113	0.542	0.945
sigma_H[7]	0.314	0.064	0.216	0.304	0.459
sigma_H[8]	0.428	0.085	0.295	0.416	0.624
sigma_H[9]	0.518	0.117	0.335	0.504	0.786
sigma_H[10]	0.213	0.039	0.148	0.209	0.301
sigma_H[11]	0.266	0.043	0.193	0.263	0.363
sigma_H[12]	0.378	0.146	0.196	0.333	0.715
sigma_H[13]	0.218	0.035	0.157	0.215	0.298
sigma_H[14]	0.503	0.087	0.351	0.498	0.690
sigma_H[15]	0.238	0.037	0.176	0.234	0.319
sigma_H[16]	0.221	0.042	0.152	0.217	0.316
lambda_H[1]	2.152	3.427	0.086	1.007	9.987
lambda_H[2]	5.484	5.059	0.505	4.032	18.649
lambda_H[3]	4.093	5.599	0.256	2.336	18.710
lambda_H[4]	0.007	0.005	0.001	0.005	0.018
lambda_H[5]	2.833	6.286	0.020	0.625	19.835
lambda_H[6]	14.346	16.088	0.015	7.677	43.787
lambda_H[7]	0.011	0.008	0.002	0.009	0.034
lambda_H[8]	8.673	10.939	0.031	4.942	40.597
lambda_H[9]	0.015	0.010	0.003	0.013	0.041
lambda_H[10]	0.227	0.251	0.026	0.157	0.849
lambda_H[11]	0.230	0.345	0.011	0.107	1.127
lambda_H[12]	3.757	4.973	0.180	2.112	17.752
lambda_H[13]	3.294	3.031	0.287	2.417	11.613
lambda_H[14]	3.623	5.111	0.223	2.177	15.546
lambda_H[15]	0.019	0.022	0.003	0.014	0.067
lambda_H[16]	0.890	1.249	0.059	0.455	4.232
mu_lambda_H[1]	4.005	1.896	1.013	3.802	8.129
mu_lambda_H[2]	4.068	1.971	0.651	3.924	8.175
mu_lambda_H[3]	3.388	1.826	0.699	3.120	7.553
sigma_lambda_H[1]	8.013	4.383	1.705	7.294	18.139
sigma_lambda_H[2]	9.067	4.734	1.082	8.727	18.809
sigma_lambda_H[3]	6.179	4.001	0.920	5.199	16.144
beta_H[1,1]	6.510	1.346	3.231	6.717	8.466
beta_H[2,1]	9.752	0.602	8.410	9.793	10.820
beta_H[3,1]	7.791	0.823	5.894	7.891	9.183
beta_H[4,1]	10.273	7.679	-4.985	10.296	25.407
beta_H[5,1]	-0.229	2.714	-5.611	-0.110	4.541
beta_H[6,1]	4.491	3.529	-5.653	5.716	7.853
beta_H[7,1]	0.994	5.673	-10.916	1.340	11.480
beta_H[8,1]	1.697	5.229	-2.802	1.304	4.414
beta_H[9,1]	13.675	5.670	2.464	13.589	24.858
beta_H[10,1]	6.730	1.855	2.860	6.770	10.320
beta_H[11,1]	4.920	3.530	-2.772	5.558	10.021
beta_H[12,1]	2.631	1.091	0.689	2.555	5.094
beta_H[13,1]	9.086	0.860	7.290	9.144	10.608
beta_H[14,1]	2.140	1.011	0.179	2.138	4.180
beta_H[15,1]	-6.882	3.472	-13.148	-7.107	0.338
beta_H[16,1]	3.281	2.506	-0.881	2.996	9.114
beta_H[1,2]	7.771	0.269	7.219	7.778	8.288
beta_H[2,2]	9.889	0.162	9.563	9.893	10.205
beta_H[3,2]	8.825	0.208	8.415	8.824	9.243
beta_H[4,2]	3.087	1.473	0.217	3.072	6.026
beta_H[5,2]	1.690	1.038	-0.360	1.672	3.694
beta_H[6,2]	6.372	0.990	3.929	6.543	7.873
beta_H[7,2]	2.459	1.083	0.540	2.399	4.732
beta_H[8,2]	2.933	1.400	0.767	3.144	4.297
beta_H[9,2]	3.168	1.087	1.081	3.138	5.283
beta_H[10,2]	8.018	0.368	7.242	8.030	8.721
beta_H[11,2]	9.824	0.632	8.873	9.737	11.193
beta_H[12,2]	3.951	0.375	3.249	3.935	4.748
beta_H[13,2]	9.134	0.241	8.685	9.123	9.643
beta_H[14,2]	4.023	0.344	3.363	4.020	4.708
beta_H[15,2]	11.513	0.639	10.209	11.544	12.715
beta_H[16,2]	4.550	0.780	3.002	4.562	6.082
beta_H[1,3]	8.436	0.262	7.959	8.428	8.954
beta_H[2,3]	9.865	0.141	9.593	9.864	10.154
beta_H[3,3]	9.510	0.162	9.186	9.508	9.844
beta_H[4,3]	-2.192	0.888	-3.991	-2.169	-0.471
beta_H[5,3]	3.812	0.624	2.558	3.804	5.040
beta_H[6,3]	7.938	1.038	6.610	7.609	10.470
beta_H[7,3]	-2.638	0.640	-3.888	-2.636	-1.385
beta_H[8,3]	5.318	0.642	4.682	5.207	6.888
beta_H[9,3]	-2.707	0.709	-4.128	-2.694	-1.334
beta_H[10,3]	8.530	0.276	7.988	8.521	9.068
beta_H[11,3]	8.498	0.284	7.885	8.516	8.988
beta_H[12,3]	5.289	0.323	4.554	5.322	5.830
beta_H[13,3]	8.857	0.179	8.493	8.862	9.202
beta_H[14,3]	5.784	0.268	5.195	5.801	6.257
beta_H[15,3]	10.285	0.307	9.682	10.284	10.917
beta_H[16,3]	6.440	0.531	5.287	6.477	7.338
beta_H[1,4]	8.077	0.189	7.680	8.091	8.417
beta_H[2,4]	9.869	0.125	9.604	9.877	10.095
beta_H[3,4]	9.999	0.160	9.648	10.011	10.278
beta_H[4,4]	11.815	0.482	10.864	11.823	12.762
beta_H[5,4]	5.489	0.788	4.222	5.412	7.274
beta_H[6,4]	7.528	0.732	5.562	7.731	8.495
beta_H[7,4]	8.557	0.348	7.876	8.561	9.230
beta_H[8,4]	6.648	0.302	5.932	6.679	7.080
beta_H[9,4]	7.399	0.443	6.528	7.397	8.285
beta_H[10,4]	7.499	0.224	7.066	7.498	7.939
beta_H[11,4]	9.512	0.195	9.124	9.511	9.905
beta_H[12,4]	7.255	0.197	6.881	7.255	7.663
beta_H[13,4]	9.054	0.146	8.753	9.056	9.332
beta_H[14,4]	7.831	0.216	7.416	7.827	8.281
beta_H[15,4]	9.449	0.228	9.008	9.451	9.885
beta_H[16,4]	9.358	0.223	8.932	9.356	9.812
beta_H[1,5]	8.881	0.150	8.562	8.886	9.166
beta_H[2,5]	10.678	0.099	10.491	10.673	10.885
beta_H[3,5]	10.816	0.163	10.504	10.812	11.137
beta_H[4,5]	8.344	0.506	7.368	8.328	9.374
beta_H[5,5]	4.967	0.670	3.348	5.054	6.011
beta_H[6,5]	8.575	0.502	7.857	8.461	9.842
beta_H[7,5]	6.567	0.343	5.905	6.561	7.248
beta_H[8,5]	8.206	0.244	7.852	8.179	8.747
beta_H[9,5]	8.182	0.457	7.252	8.182	9.067
beta_H[10,5]	9.998	0.227	9.540	9.996	10.444
beta_H[11,5]	11.600	0.219	11.162	11.603	12.031
beta_H[12,5]	8.614	0.189	8.241	8.613	8.996
beta_H[13,5]	10.115	0.131	9.873	10.110	10.382
beta_H[14,5]	9.255	0.215	8.847	9.251	9.695
beta_H[15,5]	11.308	0.239	10.831	11.312	11.765
beta_H[16,5]	9.891	0.173	9.524	9.900	10.214
beta_H[1,6]	10.121	0.230	9.751	10.089	10.672
beta_H[2,6]	11.468	0.112	11.251	11.464	11.695
beta_H[3,6]	10.563	0.157	10.246	10.570	10.853
beta_H[4,6]	12.914	0.906	11.072	12.930	14.625
beta_H[5,6]	5.644	0.694	4.485	5.595	7.118
beta_H[6,6]	8.683	0.439	7.743	8.704	9.494
beta_H[7,6]	10.565	0.589	9.413	10.566	11.677
beta_H[8,6]	9.449	0.325	8.786	9.482	9.913
beta_H[9,6]	8.250	0.761	6.804	8.233	9.788
beta_H[10,6]	9.133	0.347	8.359	9.166	9.736
beta_H[11,6]	10.700	0.355	9.965	10.720	11.350
beta_H[12,6]	9.377	0.233	8.931	9.371	9.865
beta_H[13,6]	11.059	0.152	10.766	11.055	11.380
beta_H[14,6]	9.954	0.283	9.409	9.963	10.495
beta_H[15,6]	10.535	0.423	9.730	10.520	11.387
beta_H[16,6]	10.628	0.225	10.130	10.640	11.041
beta_H[1,7]	10.265	1.201	7.195	10.542	11.958
beta_H[2,7]	12.108	0.496	11.018	12.138	13.017
beta_H[3,7]	10.089	0.685	8.572	10.133	11.268
beta_H[4,7]	1.391	4.602	-7.251	1.382	10.519
beta_H[5,7]	5.892	2.277	1.222	5.945	10.079
beta_H[6,7]	8.121	2.355	1.190	8.862	10.373
beta_H[7,7]	7.616	3.007	1.795	7.636	13.585
beta_H[8,7]	10.879	1.198	9.070	10.807	12.905
beta_H[9,7]	4.970	3.934	-3.151	5.013	12.318
beta_H[10,7]	9.961	1.629	7.231	9.768	13.695
beta_H[11,7]	11.340	1.781	8.224	11.147	15.247
beta_H[12,7]	9.808	0.920	7.757	9.874	11.441
beta_H[13,7]	11.693	0.683	10.120	11.761	12.841
beta_H[14,7]	10.718	0.932	8.864	10.737	12.452
beta_H[15,7]	13.969	2.182	9.526	14.029	18.209
beta_H[16,7]	12.645	1.245	10.603	12.481	15.510
beta0_H[1]	8.341	18.989	-28.977	8.736	46.524
beta0_H[2]	10.651	7.849	-4.645	10.547	26.600
beta0_H[3]	9.476	10.889	-12.992	9.714	31.217
beta0_H[4]	9.197	184.597	-367.486	7.657	380.298
beta0_H[5]	3.900	33.342	-55.448	4.055	68.801
beta0_H[6]	7.329	32.042	-64.079	7.719	79.032
beta0_H[7]	5.700	145.930	-282.239	5.547	293.461
beta0_H[8]	5.503	40.836	-24.178	6.249	32.435
beta0_H[9]	7.783	118.888	-227.921	6.259	250.150
beta0_H[10]	9.153	37.654	-71.875	9.340	87.037
beta0_H[11]	8.104	51.897	-111.548	9.922	107.827
beta0_H[12]	6.765	12.413	-16.937	6.661	31.146
beta0_H[13]	9.941	10.843	-10.223	9.747	30.218
beta0_H[14]	7.273	11.938	-15.067	7.192	30.947
beta0_H[15]	13.107	115.162	-218.637	13.976	245.349
beta0_H[16]	8.075	23.390	-39.181	8.132	57.333